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Finding the Fourth Proportional to 416.13, 624.77 and 251.85

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Solution

The fourth proportional to 416.13, 624.77 and 251.85 is: 378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.13 : 624.77 = 251.85 : x
  2. Step 2: Convert to fraction form
    416.13/624.77 = 251.85/x
  3. Step 3: Cross multiply
    416.13x = 624.77 × 251.85
  4. Step 4: Simplify right side
    416.13x = 157,348.32
  5. Step 5: Solve for x
    x = 157,348.32/416.13
  6. Step 6: Final answer
    x = 378.12

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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.