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Finding the Fourth Proportional to 426.41, 588.45 and 249.48

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Solution

The fourth proportional to 426.41, 588.45 and 249.48 is: 344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.41 : 588.45 = 249.48 : x
  2. Step 2: Convert to fraction form
    426.41/588.45 = 249.48/x
  3. Step 3: Cross multiply
    426.41x = 588.45 × 249.48
  4. Step 4: Simplify right side
    426.41x = 146,806.04
  5. Step 5: Solve for x
    x = 146,806.04/426.41
  6. Step 6: Final answer
    x = 344.28

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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.