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Finding the Fourth Proportional to 414.26, 567.98 and 406.88

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Solution

The fourth proportional to 414.26, 567.98 and 406.88 is: 557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.26 : 567.98 = 406.88 : x
  2. Step 2: Convert to fraction form
    414.26/567.98 = 406.88/x
  3. Step 3: Cross multiply
    414.26x = 567.98 × 406.88
  4. Step 4: Simplify right side
    414.26x = 231,099.70
  5. Step 5: Solve for x
    x = 231,099.70/414.26
  6. Step 6: Final answer
    x = 557.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.