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Finding the Fourth Proportional to 416.52, 625.48 and 399.97

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Solution

The fourth proportional to 416.52, 625.48 and 399.97 is: 600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.52 : 625.48 = 399.97 : x
  2. Step 2: Convert to fraction form
    416.52/625.48 = 399.97/x
  3. Step 3: Cross multiply
    416.52x = 625.48 × 399.97
  4. Step 4: Simplify right side
    416.52x = 250,168.11
  5. Step 5: Solve for x
    x = 250,168.11/416.52
  6. Step 6: Final answer
    x = 600.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.