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Finding the Fourth Proportional to 426.28, 588.25 and 239.80

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Solution

The fourth proportional to 426.28, 588.25 and 239.80 is: 330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.28 : 588.25 = 239.80 : x
  2. Step 2: Convert to fraction form
    426.28/588.25 = 239.80/x
  3. Step 3: Cross multiply
    426.28x = 588.25 × 239.80
  4. Step 4: Simplify right side
    426.28x = 141,061.15
  5. Step 5: Solve for x
    x = 141,061.15/426.28
  6. Step 6: Final answer
    x = 330.91

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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.