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Finding the Fourth Proportional to 414.57, 571.93 and 237.50

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Solution

The fourth proportional to 414.57, 571.93 and 237.50 is: 327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.57 : 571.93 = 237.50 : x
  2. Step 2: Convert to fraction form
    414.57/571.93 = 237.50/x
  3. Step 3: Cross multiply
    414.57x = 571.93 × 237.50
  4. Step 4: Simplify right side
    414.57x = 135,833.38
  5. Step 5: Solve for x
    x = 135,833.38/414.57
  6. Step 6: Final answer
    x = 327.65

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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.