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Finding the Fourth Proportional to 528.11, 728.99 and 472.74

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Solution

The fourth proportional to 528.11, 728.99 and 472.74 is: 652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.11 : 728.99 = 472.74 : x
  2. Step 2: Convert to fraction form
    528.11/728.99 = 472.74/x
  3. Step 3: Cross multiply
    528.11x = 728.99 × 472.74
  4. Step 4: Simplify right side
    528.11x = 344,622.19
  5. Step 5: Solve for x
    x = 344,622.19/528.11
  6. Step 6: Final answer
    x = 652.56

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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.