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Finding the Fourth Proportional to 414.98, 572.65 and 249.09

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Solution

The fourth proportional to 414.98, 572.65 and 249.09 is: 343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.98 : 572.65 = 249.09 : x
  2. Step 2: Convert to fraction form
    414.98/572.65 = 249.09/x
  3. Step 3: Cross multiply
    414.98x = 572.65 × 249.09
  4. Step 4: Simplify right side
    414.98x = 142,643.24
  5. Step 5: Solve for x
    x = 142,643.24/414.98
  6. Step 6: Final answer
    x = 343.74

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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.