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Finding the Fourth Proportional to 520.92, 781.56 and 196.56

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Solution

The fourth proportional to 520.92, 781.56 and 196.56 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.92 : 781.56 = 196.56 : x
  2. Step 2: Convert to fraction form
    520.92/781.56 = 196.56/x
  3. Step 3: Cross multiply
    520.92x = 781.56 × 196.56
  4. Step 4: Simplify right side
    520.92x = 153,623.43
  5. Step 5: Solve for x
    x = 153,623.43/520.92
  6. Step 6: Final answer
    x = 294.91

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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.