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Finding the Fourth Proportional to 552.76, 762.96 and 387.25

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Solution

The fourth proportional to 552.76, 762.96 and 387.25 is: 534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.76 : 762.96 = 387.25 : x
  2. Step 2: Convert to fraction form
    552.76/762.96 = 387.25/x
  3. Step 3: Cross multiply
    552.76x = 762.96 × 387.25
  4. Step 4: Simplify right side
    552.76x = 295,456.26
  5. Step 5: Solve for x
    x = 295,456.26/552.76
  6. Step 6: Final answer
    x = 534.51

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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.