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Finding the Fourth Proportional to 414.08, 571.25 and 237

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Solution

The fourth proportional to 414.08, 571.25 and 237 is: 326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.08 : 571.25 = 237 : x
  2. Step 2: Convert to fraction form
    414.08/571.25 = 237/x
  3. Step 3: Cross multiply
    414.08x = 571.25 × 237
  4. Step 4: Simplify right side
    414.08x = 135,385.07
  5. Step 5: Solve for x
    x = 135,385.07/414.08
  6. Step 6: Final answer
    x = 326.96

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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.