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Finding the Fourth Proportional to 416.92, 624.42 and 279.76

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Solution

The fourth proportional to 416.92, 624.42 and 279.76 is: 419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.92 : 624.42 = 279.76 : x
  2. Step 2: Convert to fraction form
    416.92/624.42 = 279.76/x
  3. Step 3: Cross multiply
    416.92x = 624.42 × 279.76
  4. Step 4: Simplify right side
    416.92x = 174,687.74
  5. Step 5: Solve for x
    x = 174,687.74/416.92
  6. Step 6: Final answer
    x = 419.00

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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.