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Finding the Fourth Proportional to 552.76, 762.52 and 356.20

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Solution

The fourth proportional to 552.76, 762.52 and 356.20 is: 491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.76 : 762.52 = 356.20 : x
  2. Step 2: Convert to fraction form
    552.76/762.52 = 356.20/x
  3. Step 3: Cross multiply
    552.76x = 762.52 × 356.20
  4. Step 4: Simplify right side
    552.76x = 271,609.62
  5. Step 5: Solve for x
    x = 271,609.62/552.76
  6. Step 6: Final answer
    x = 491.37

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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.