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Finding the Fourth Proportional to 416.76, 624.16 and 268.12

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Solution

The fourth proportional to 416.76, 624.16 and 268.12 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.76 : 624.16 = 268.12 : x
  2. Step 2: Convert to fraction form
    416.76/624.16 = 268.12/x
  3. Step 3: Cross multiply
    416.76x = 624.16 × 268.12
  4. Step 4: Simplify right side
    416.76x = 167,349.78
  5. Step 5: Solve for x
    x = 167,349.78/416.76
  6. Step 6: Final answer
    x = 401.55

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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.