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Finding the Fourth Proportional to 439.92, 658.12 and 382.80

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Solution

The fourth proportional to 439.92, 658.12 and 382.80 is: 572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.92 : 658.12 = 382.80 : x
  2. Step 2: Convert to fraction form
    439.92/658.12 = 382.80/x
  3. Step 3: Cross multiply
    439.92x = 658.12 × 382.80
  4. Step 4: Simplify right side
    439.92x = 251,928.34
  5. Step 5: Solve for x
    x = 251,928.34/439.92
  6. Step 6: Final answer
    x = 572.67

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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.