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Finding the Fourth Proportional to 439.39, 606.33 and 284.41

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Solution

The fourth proportional to 439.39, 606.33 and 284.41 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.39 : 606.33 = 284.41 : x
  2. Step 2: Convert to fraction form
    439.39/606.33 = 284.41/x
  3. Step 3: Cross multiply
    439.39x = 606.33 × 284.41
  4. Step 4: Simplify right side
    439.39x = 172,446.32
  5. Step 5: Solve for x
    x = 172,446.32/439.39
  6. Step 6: Final answer
    x = 392.47

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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.