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Finding the Fourth Proportional to 439.13, 606 and 284.15

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Solution

The fourth proportional to 439.13, 606 and 284.15 is: 392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.13 : 606 = 284.15 : x
  2. Step 2: Convert to fraction form
    439.13/606 = 284.15/x
  3. Step 3: Cross multiply
    439.13x = 606 × 284.15
  4. Step 4: Simplify right side
    439.13x = 172,191.87
  5. Step 5: Solve for x
    x = 172,191.87/439.13
  6. Step 6: Final answer
    x = 392.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.