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Finding the Fourth Proportional to 414.82, 572.48 and 237.82

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Solution

The fourth proportional to 414.82, 572.48 and 237.82 is: 328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.82 : 572.48 = 237.82 : x
  2. Step 2: Convert to fraction form
    414.82/572.48 = 237.82/x
  3. Step 3: Cross multiply
    414.82x = 572.48 × 237.82
  4. Step 4: Simplify right side
    414.82x = 136,147.19
  5. Step 5: Solve for x
    x = 136,147.19/414.82
  6. Step 6: Final answer
    x = 328.21

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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.