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Finding the Fourth Proportional to 416.46, 624.66 and 108.30

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Solution

The fourth proportional to 416.46, 624.66 and 108.30 is: 162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.46 : 624.66 = 108.30 : x
  2. Step 2: Convert to fraction form
    416.46/624.66 = 108.30/x
  3. Step 3: Cross multiply
    416.46x = 624.66 × 108.30
  4. Step 4: Simplify right side
    416.46x = 67,650.68
  5. Step 5: Solve for x
    x = 67,650.68/416.46
  6. Step 6: Final answer
    x = 162.44

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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.