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Finding the Fourth Proportional to 311.48, 429.28 and 249.52

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Solution

The fourth proportional to 311.48, 429.28 and 249.52 is: 343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.48 : 429.28 = 249.52 : x
  2. Step 2: Convert to fraction form
    311.48/429.28 = 249.52/x
  3. Step 3: Cross multiply
    311.48x = 429.28 × 249.52
  4. Step 4: Simplify right side
    311.48x = 107,112.25
  5. Step 5: Solve for x
    x = 107,112.25/311.48
  6. Step 6: Final answer
    x = 343.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.