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Finding the Fourth Proportional to 520.96, 781.44 and 196.24

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Solution

The fourth proportional to 520.96, 781.44 and 196.24 is: 294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.96 : 781.44 = 196.24 : x
  2. Step 2: Convert to fraction form
    520.96/781.44 = 196.24/x
  3. Step 3: Cross multiply
    520.96x = 781.44 × 196.24
  4. Step 4: Simplify right side
    520.96x = 153,349.79
  5. Step 5: Solve for x
    x = 153,349.79/520.96
  6. Step 6: Final answer
    x = 294.36

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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.