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Finding the Fourth Proportional to 523.54, 781.34 and 502.35

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Solution

The fourth proportional to 523.54, 781.34 and 502.35 is: 749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.54 : 781.34 = 502.35 : x
  2. Step 2: Convert to fraction form
    523.54/781.34 = 502.35/x
  3. Step 3: Cross multiply
    523.54x = 781.34 × 502.35
  4. Step 4: Simplify right side
    523.54x = 392,503.61
  5. Step 5: Solve for x
    x = 392,503.61/523.54
  6. Step 6: Final answer
    x = 749.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.