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Finding the Fourth Proportional to 391.97, 588.16 and 284.65

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Solution

The fourth proportional to 391.97, 588.16 and 284.65 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.97 : 588.16 = 284.65 : x
  2. Step 2: Convert to fraction form
    391.97/588.16 = 284.65/x
  3. Step 3: Cross multiply
    391.97x = 588.16 × 284.65
  4. Step 4: Simplify right side
    391.97x = 167,419.74
  5. Step 5: Solve for x
    x = 167,419.74/391.97
  6. Step 6: Final answer
    x = 427.12

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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.