One problem related to power train driveline has been reported for the 2004 Ford F-350. The most recently reported issues are listed below.
There is a loud "clunk" from underneath the vehicle when taking off after putting the transmission in drive. The "clunk" happens about 5 to 10 feet after you begin moving forward and sometimes also when the vehicle shifts from 1st to 2nd gear and 2nd to 3rd gear. *akthe "clunk" can not only be heard but also felt in the floorboards of the vehicle. Sounds as if something in the transmission as let go.