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Finding the Fourth Proportional to 391.73, 588.50 and 284.19

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Solution

The fourth proportional to 391.73, 588.50 and 284.19 is: 426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.73 : 588.50 = 284.19 : x
  2. Step 2: Convert to fraction form
    391.73/588.50 = 284.19/x
  3. Step 3: Cross multiply
    391.73x = 588.50 × 284.19
  4. Step 4: Simplify right side
    391.73x = 167,244.39
  5. Step 5: Solve for x
    x = 167,244.39/391.73
  6. Step 6: Final answer
    x = 426.94

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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.