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Finding the Fourth Proportional to 417.71, 626.22 and 255.33

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Solution

The fourth proportional to 417.71, 626.22 and 255.33 is: 382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.71 : 626.22 = 255.33 : x
  2. Step 2: Convert to fraction form
    417.71/626.22 = 255.33/x
  3. Step 3: Cross multiply
    417.71x = 626.22 × 255.33
  4. Step 4: Simplify right side
    417.71x = 159,892.75
  5. Step 5: Solve for x
    x = 159,892.75/417.71
  6. Step 6: Final answer
    x = 382.79

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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.