A catheter-based system for percutaneously supporting and articulating a septal wall of a heart includes a catheter and a flanged device. The flanged device includes a distal anchor and a proximal anchor, and has a radially collapsed configuration and a radially expanded configuration. When the flanged device is in the radially expanded configuration and disposed through a transseptal puncture in the septal wall, the flanged device is configured to anchor to the septal wall to permit manipulation thereof whereby an angle between an axis through the transseptal puncture and an axis through a native valve is reduced. The proximal anchor and the distal anchor may each be self-expanding or balloon expandable. The flanged device may further include a flanged device shaft. The flanged device shaft may be releasably coupled to the catheter.