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Finding the Fourth Proportional to 520.71, 781.17 and 304.23

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Solution

The fourth proportional to 520.71, 781.17 and 304.23 is: 456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.71 : 781.17 = 304.23 : x
  2. Step 2: Convert to fraction form
    520.71/781.17 = 304.23/x
  3. Step 3: Cross multiply
    520.71x = 781.17 × 304.23
  4. Step 4: Simplify right side
    520.71x = 237,655.35
  5. Step 5: Solve for x
    x = 237,655.35/520.71
  6. Step 6: Final answer
    x = 456.41

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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.