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Finding the Fourth Proportional to 426.38, 588.42 and 249.46

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Solution

The fourth proportional to 426.38, 588.42 and 249.46 is: 344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.38 : 588.42 = 249.46 : x
  2. Step 2: Convert to fraction form
    426.38/588.42 = 249.46/x
  3. Step 3: Cross multiply
    426.38x = 588.42 × 249.46
  4. Step 4: Simplify right side
    426.38x = 146,785.78
  5. Step 5: Solve for x
    x = 146,785.78/426.38
  6. Step 6: Final answer
    x = 344.26

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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.