  In the present work we investigate the three-body systems of $\eta K \bar K$
and $\eta' K \bar K$, by taking the fixed center approximation to Faddeev
equations. We find a clear and stable resonance structure around 1490 MeV in
the squared $\eta K \bar K$ scattering amplitude, which is not sensitive to the
renormalization parameters. Conversely, we get only an enhancement effect of
the threshold in the $\eta' K \bar K$ amplitude that indicates the difficulty
to bind the $\eta' K \bar K$ system as a consequence of a weaker $\eta' K$
interaction than the $\eta K$ one. We associate the $\eta K \bar K$ state found
to the $\eta(1475)$.
