This fast seems to have been primarily summoned by Meredith to try and beseech God to bestow divine healing to LCG. Meredith's order for this fast may be seen from the February 19, 2009 update:
After reading quite a number of requests to have a Church fast for the last several months, I have talked with our leading ministers here and elsewhere and concluded that we should call for a Church fast on the Sabbath of March 28....Why a Church fast at this time? We feel that a Church fast would be especially appropriate at this time because so many of our brethren are getting weak and sickly, and deeply need God’s healing! I hesitated to call a fast because I did not want to focus on my personal problem. However, quite a number of other serious illnesses are coming to the fore and as I have studied and prayed intensively—more than ever the last few months—it is obvious that we should be drawing closer to God and crying out to Him for the “gifts” of healings, discernment of spirits and casting out demons (Mark 16:15-20).This seems to be the primary motivator for this fast. Also observe this reminder March 26, 2009 update: 'Church-Wide Fast Reminder: This Sabbath, March 28, the Living Church of God will be fasting to draw closer to God in every way and to beseech Him to pour out especially the gifts of healing on His Church.'
No amount of fasting or works can hide the fact that Armstrongism is a proven heresy which God is not working through, or that the leaders are merely false prophets.