  Recent fits of electroweak precision data to the Standard Model (SM) with a
4th sequential family (SM4) point to a possible "three-prong composite
solution": (1) the Higgs mass is at the TeV-scale, (2) the masses of the 4th
family quarks t',b' are of O(500) GeV and (3) the mixing angle between the 4th
and 3rd generation quarks is of the order of the Cabibbo angle, \theta_{34} ~
O(0.1). Such a manifestation of the SM4 is of particular interest as it may
suggest that the Higgs is a composite state, predominantly of the 4th
generation heavy quarks. Motivated by the above, we show that the three-prong
composite solution to the SM4 can have interesting new implications for Higgs
phenomenology. For example, the Higgs can decay to a single heavy 4th
generation quark via the 3-body decays (through an off-shell t' or b') H ->
t'(bar) t'* -> t'(bar) b W+ and H -> b'(bar) b'* -> b'(bar) t W-. These flavor
diagonal decays can be dramatically enhanced at the LHC (by several orders of
magnitudes) due to the large width effects of the resonating heavy Higgs in the
processes gg -> H -> t'(bar) t'* -> t'(bar) b W+ and gg -> H -> b'(bar) b'* ->
b'(bar) t W-, thus yielding a viable signal above the corresponding continuum
QCD production rates. In addition, the Higgs can decay to a single t' and b' in
the loop-generated flavor changing (FC) channels H -> b' b(bar), t' t(bar).
These FC decays are essentially "GIM-free" and can, therefore, have branching
ratios as large as 10^{-4} - 10^{-3}.
