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Finding the Fourth Proportional to 528.24, 728.91 and 292.17

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Solution

The fourth proportional to 528.24, 728.91 and 292.17 is: 403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.24 : 728.91 = 292.17 : x
  2. Step 2: Convert to fraction form
    528.24/728.91 = 292.17/x
  3. Step 3: Cross multiply
    528.24x = 728.91 × 292.17
  4. Step 4: Simplify right side
    528.24x = 212,965.63
  5. Step 5: Solve for x
    x = 212,965.63/528.24
  6. Step 6: Final answer
    x = 403.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.