  The cascading 3.21 MeV and 4.44 MeV electric quadrupole transitions have been
observed from the Hoyle state at 7.65 MeV excitation energy in $^{12}$C,
excited by the $^{12}$C(p,p$^{\prime}$) reaction at 10.7 MeV proton energy.
From the proton-$\gamma$-$\gamma$ triple coincidence data, a value of
${\Gamma_{\rm rad}}/{\Gamma}=6.2(6) \times 10^{-4}$ was obtained for the
radiative branching ratio. Using our results, together with
${\Gamma_{\pi}^{E0}}/{\Gamma}$ from Eriksen et al., Phys. Rev. C 102, 024320
and the currently adopted $\Gamma_{\pi}(E0)$ values, the radiative width of the
Hoyle state is determined as $\Gamma_{\rm rad}=5.1(6) \times 10^{-3}$ eV. This
value is about 34% higher than the currently adopted value and will impact on
models of stellar evolution and nucleosynthesis.
