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Finding the Fourth Proportional to 522.82, 724.76 and 502.30

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Solution

The fourth proportional to 522.82, 724.76 and 502.30 is: 696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.82 : 724.76 = 502.30 : x
  2. Step 2: Convert to fraction form
    522.82/724.76 = 502.30/x
  3. Step 3: Cross multiply
    522.82x = 724.76 × 502.30
  4. Step 4: Simplify right side
    522.82x = 364,046.95
  5. Step 5: Solve for x
    x = 364,046.95/522.82
  6. Step 6: Final answer
    x = 696.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.