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Finding the Fourth Proportional to 391.97, 588.09 and 282.08

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Solution

The fourth proportional to 391.97, 588.09 and 282.08 is: 423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.97 : 588.09 = 282.08 : x
  2. Step 2: Convert to fraction form
    391.97/588.09 = 282.08/x
  3. Step 3: Cross multiply
    391.97x = 588.09 × 282.08
  4. Step 4: Simplify right side
    391.97x = 165,888.43
  5. Step 5: Solve for x
    x = 165,888.43/391.97
  6. Step 6: Final answer
    x = 423.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.