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Finding the Fourth Proportional to 741.92, 1,112.14 and 331.16

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Solution

The fourth proportional to 741.92, 1,112.14 and 331.16 is: 496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.92 : 1,112.14 = 331.16 : x
  2. Step 2: Convert to fraction form
    741.92/1,112.14 = 331.16/x
  3. Step 3: Cross multiply
    741.92x = 1,112.14 × 331.16
  4. Step 4: Simplify right side
    741.92x = 368,296.28
  5. Step 5: Solve for x
    x = 368,296.28/741.92
  6. Step 6: Final answer
    x = 496.41

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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.