OK, the Cedar Mill Pentiums are 64 bit CPUs, the Prescott P-4s were only 32 bit.Therefore your board must be 64 bit to support that CPU.
With that said, Dell shows the 390 Precision as a "new work station". I'm a bit mystified as to their marketing strategy here, thinking that they have kept the number, and changed everything inside. Or, as the old joke goes, "I'm a virgin, but this is a very old t-shirt".
If the E6600 didn't work in that board, you can be assured that nothing later than that will, and certainly not the E7600.
Sometimes there is a bit of confusion about the E6XXX series of Intel CPUs, since they have been duplicated in the newest "Pentium Dual Cores", notably the E6300, and E6500 issues.
As I said, this workstation may have shipped with the original "Pentium Dual Core" or "Pentium D" models. These were the precursors to the "Conroe" C2D models, such as the E6600 that you mentioned. IMHO, if this is all you could "upgrade to", that would be pointless.