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Finding the Fourth Proportional to 524.70, 724.10 and 501.34

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Solution

The fourth proportional to 524.70, 724.10 and 501.34 is: 691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.70 : 724.10 = 501.34 : x
  2. Step 2: Convert to fraction form
    524.70/724.10 = 501.34/x
  3. Step 3: Cross multiply
    524.70x = 724.10 × 501.34
  4. Step 4: Simplify right side
    524.70x = 363,020.29
  5. Step 5: Solve for x
    x = 363,020.29/524.70
  6. Step 6: Final answer
    x = 691.86

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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.