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Finding the Fourth Proportional to 439.57, 656.15 and 406.99

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Solution

The fourth proportional to 439.57, 656.15 and 406.99 is: 607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.57 : 656.15 = 406.99 : x
  2. Step 2: Convert to fraction form
    439.57/656.15 = 406.99/x
  3. Step 3: Cross multiply
    439.57x = 656.15 × 406.99
  4. Step 4: Simplify right side
    439.57x = 267,046.49
  5. Step 5: Solve for x
    x = 267,046.49/439.57
  6. Step 6: Final answer
    x = 607.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.