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Finding the Fourth Proportional to 520.72, 781.20 and 196.06

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Solution

The fourth proportional to 520.72, 781.20 and 196.06 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.72 : 781.20 = 196.06 : x
  2. Step 2: Convert to fraction form
    520.72/781.20 = 196.06/x
  3. Step 3: Cross multiply
    520.72x = 781.20 × 196.06
  4. Step 4: Simplify right side
    520.72x = 153,162.07
  5. Step 5: Solve for x
    x = 153,162.07/520.72
  6. Step 6: Final answer
    x = 294.14

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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.