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Finding the Fourth Proportional to 414.60, 572.10 and 255.06

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Solution

The fourth proportional to 414.60, 572.10 and 255.06 is: 351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.60 : 572.10 = 255.06 : x
  2. Step 2: Convert to fraction form
    414.60/572.10 = 255.06/x
  3. Step 3: Cross multiply
    414.60x = 572.10 × 255.06
  4. Step 4: Simplify right side
    414.60x = 145,919.83
  5. Step 5: Solve for x
    x = 145,919.83/414.60
  6. Step 6: Final answer
    x = 351.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.