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Finding the Fourth Proportional to 742.16, 1,112.96 and 255.12

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Solution

The fourth proportional to 742.16, 1,112.96 and 255.12 is: 382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.16 : 1,112.96 = 255.12 : x
  2. Step 2: Convert to fraction form
    742.16/1,112.96 = 255.12/x
  3. Step 3: Cross multiply
    742.16x = 1,112.96 × 255.12
  4. Step 4: Simplify right side
    742.16x = 283,938.36
  5. Step 5: Solve for x
    x = 283,938.36/742.16
  6. Step 6: Final answer
    x = 382.58

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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.