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Finding the Fourth Proportional to 439.31, 606.02 and 408.05

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Solution

The fourth proportional to 439.31, 606.02 and 408.05 is: 562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.31 : 606.02 = 408.05 : x
  2. Step 2: Convert to fraction form
    439.31/606.02 = 408.05/x
  3. Step 3: Cross multiply
    439.31x = 606.02 × 408.05
  4. Step 4: Simplify right side
    439.31x = 247,281.39
  5. Step 5: Solve for x
    x = 247,281.39/439.31
  6. Step 6: Final answer
    x = 562.89

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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.