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Finding the Fourth Proportional to 528.87, 729.85 and 292.83

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Solution

The fourth proportional to 528.87, 729.85 and 292.83 is: 404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.87 : 729.85 = 292.83 : x
  2. Step 2: Convert to fraction form
    528.87/729.85 = 292.83/x
  3. Step 3: Cross multiply
    528.87x = 729.85 × 292.83
  4. Step 4: Simplify right side
    528.87x = 213,721.24
  5. Step 5: Solve for x
    x = 213,721.24/528.87
  6. Step 6: Final answer
    x = 404.11

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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.