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Finding the Fourth Proportional to 520.90, 781.14 and 196.30

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Solution

The fourth proportional to 520.90, 781.14 and 196.30 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.90 : 781.14 = 196.30 : x
  2. Step 2: Convert to fraction form
    520.90/781.14 = 196.30/x
  3. Step 3: Cross multiply
    520.90x = 781.14 × 196.30
  4. Step 4: Simplify right side
    520.90x = 153,337.78
  5. Step 5: Solve for x
    x = 153,337.78/520.90
  6. Step 6: Final answer
    x = 294.37

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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.