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Finding the Fourth Proportional to 484.38, 726.41 and 311.24

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Solution

The fourth proportional to 484.38, 726.41 and 311.24 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.38 : 726.41 = 311.24 : x
  2. Step 2: Convert to fraction form
    484.38/726.41 = 311.24/x
  3. Step 3: Cross multiply
    484.38x = 726.41 × 311.24
  4. Step 4: Simplify right side
    484.38x = 226,082.66
  5. Step 5: Solve for x
    x = 226,082.66/484.38
  6. Step 6: Final answer
    x = 466.75

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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.