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Finding the Fourth Proportional to 520.67, 781.11 and 155.43

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Solution

The fourth proportional to 520.67, 781.11 and 155.43 is: 233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.67 : 781.11 = 155.43 : x
  2. Step 2: Convert to fraction form
    520.67/781.11 = 155.43/x
  3. Step 3: Cross multiply
    520.67x = 781.11 × 155.43
  4. Step 4: Simplify right side
    520.67x = 121,407.93
  5. Step 5: Solve for x
    x = 121,407.93/520.67
  6. Step 6: Final answer
    x = 233.18

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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.