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Finding the Fourth Proportional to 391.70, 587.91 and 282.12

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Solution

The fourth proportional to 391.70, 587.91 and 282.12 is: 423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.70 : 587.91 = 282.12 : x
  2. Step 2: Convert to fraction form
    391.70/587.91 = 282.12/x
  3. Step 3: Cross multiply
    391.70x = 587.91 × 282.12
  4. Step 4: Simplify right side
    391.70x = 165,861.17
  5. Step 5: Solve for x
    x = 165,861.17/391.70
  6. Step 6: Final answer
    x = 423.44

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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.