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Finding the Fourth Proportional to 416.87, 575.33 and 354.97

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Solution

The fourth proportional to 416.87, 575.33 and 354.97 is: 489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.87 : 575.33 = 354.97 : x
  2. Step 2: Convert to fraction form
    416.87/575.33 = 354.97/x
  3. Step 3: Cross multiply
    416.87x = 575.33 × 354.97
  4. Step 4: Simplify right side
    416.87x = 204,221.68
  5. Step 5: Solve for x
    x = 204,221.68/416.87
  6. Step 6: Final answer
    x = 489.90

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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.