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Finding the Fourth Proportional to 520.89, 781.32 and 232.53

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Solution

The fourth proportional to 520.89, 781.32 and 232.53 is: 348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.89 : 781.32 = 232.53 : x
  2. Step 2: Convert to fraction form
    520.89/781.32 = 232.53/x
  3. Step 3: Cross multiply
    520.89x = 781.32 × 232.53
  4. Step 4: Simplify right side
    520.89x = 181,680.34
  5. Step 5: Solve for x
    x = 181,680.34/520.89
  6. Step 6: Final answer
    x = 348.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.