Magnetic proximity effect in $\mathbf{Y}\mathbf{B}{\mathbf{a}}_{\mathbf{2}}\mathbf{C}{\mathbf{u}}_{\mathbf{3}}{\mathbf{O}}_{\mathbf{7}}\mathbf{/}\mathbf{L}{\mathbf{a}}_{\mathbf{2}\mathbf{/}\mathbf{3}}\mathbf{C}{\mathbf{a}}_{\mathbf{1}\mathbf{/}\mathbf{3}}\mathbf{M}\mathbf{n}{\mathbf{O}}_{\mathbf{3}}$ and $\mathbf{Y}\mathbf{B}{\mathbf{a}}_{\mathbf{2}}\mathbf{C}{\mathbf{u}}_{\mathbf{3}}{\mathbf{O}}_{\mathbf{7}}\mathbf{/}\mathbf{L}\mathbf{a}\mathbf{M}\mathbf{n}{\mathbf{O}}_{\mathbf{3}+\mathbf{\delta }}$ superlattices

Using neutron reflectometry and resonant x-ray techniques we studied the magnetic proximity effect (MPE) in superlattices composed of superconducting YBa${}_2$Cu${}_3$O${}_7$ (YBCO) and ferromagnetic-metallic (FM-M) La${}_{0.67}$Ca${}_{0.33}$MnO${}_3$ (LCMO) or ferromagnetic-insulating (FM-I) LaMnO${}_{3+\delta }$ (LMO). We find that the MPE strongly depends on the electronic state of the manganite layers, being pronounced for the FM-M LCMO and almost absent for FM-I LMO. We also detail the change of the magnetic depth profile due to the MPE and provide evidence for its intrinsic nature.