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Finding the Fourth Proportional to 426.52, 588.49 and 249.41

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Solution

The fourth proportional to 426.52, 588.49 and 249.41 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.52 : 588.49 = 249.41 : x
  2. Step 2: Convert to fraction form
    426.52/588.49 = 249.41/x
  3. Step 3: Cross multiply
    426.52x = 588.49 × 249.41
  4. Step 4: Simplify right side
    426.52x = 146,775.29
  5. Step 5: Solve for x
    x = 146,775.29/426.52
  6. Step 6: Final answer
    x = 344.12

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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.