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Finding the Fourth Proportional to 520.97, 781.52 and 196.43

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Solution

The fourth proportional to 520.97, 781.52 and 196.43 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.97 : 781.52 = 196.43 : x
  2. Step 2: Convert to fraction form
    520.97/781.52 = 196.43/x
  3. Step 3: Cross multiply
    520.97x = 781.52 × 196.43
  4. Step 4: Simplify right side
    520.97x = 153,509.08
  5. Step 5: Solve for x
    x = 153,509.08/520.97
  6. Step 6: Final answer
    x = 294.66

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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.