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Finding the Fourth Proportional to 414.98, 572.67 and 237.97

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Solution

The fourth proportional to 414.98, 572.67 and 237.97 is: 328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.98 : 572.67 = 237.97 : x
  2. Step 2: Convert to fraction form
    414.98/572.67 = 237.97/x
  3. Step 3: Cross multiply
    414.98x = 572.67 × 237.97
  4. Step 4: Simplify right side
    414.98x = 136,278.28
  5. Step 5: Solve for x
    x = 136,278.28/414.98
  6. Step 6: Final answer
    x = 328.40

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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.