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Finding the Fourth Proportional to 426.17, 588.15 and 249.09

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Solution

The fourth proportional to 426.17, 588.15 and 249.09 is: 343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.17 : 588.15 = 249.09 : x
  2. Step 2: Convert to fraction form
    426.17/588.15 = 249.09/x
  3. Step 3: Cross multiply
    426.17x = 588.15 × 249.09
  4. Step 4: Simplify right side
    426.17x = 146,502.28
  5. Step 5: Solve for x
    x = 146,502.28/426.17
  6. Step 6: Final answer
    x = 343.76

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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.