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Finding the Fourth Proportional to 520.66, 781.14 and 304.42

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Solution

The fourth proportional to 520.66, 781.14 and 304.42 is: 456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.66 : 781.14 = 304.42 : x
  2. Step 2: Convert to fraction form
    520.66/781.14 = 304.42/x
  3. Step 3: Cross multiply
    520.66x = 781.14 × 304.42
  4. Step 4: Simplify right side
    520.66x = 237,794.64
  5. Step 5: Solve for x
    x = 237,794.64/520.66
  6. Step 6: Final answer
    x = 456.72

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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.