One problem related to transmission solenoid has been reported for the 2004 Ford F-250. The most recently reported issues are listed below.
While accelerating from a traffic light, the transmission began shifting wildly. Pulled over, restarted and transmission began shifting up and down again with a serious loss of power. Vehicle was limped under its own power back to the dealer with the transmission acting as if it would fail at any time. Dealer found and replaced a solenoid and wiring harness shorting to the transmission pan.