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Finding the Fourth Proportional to 552.25, 762.09 and 331.18

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Solution

The fourth proportional to 552.25, 762.09 and 331.18 is: 457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.25 : 762.09 = 331.18 : x
  2. Step 2: Convert to fraction form
    552.25/762.09 = 331.18/x
  3. Step 3: Cross multiply
    552.25x = 762.09 × 331.18
  4. Step 4: Simplify right side
    552.25x = 252,388.97
  5. Step 5: Solve for x
    x = 252,388.97/552.25
  6. Step 6: Final answer
    x = 457.02

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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.