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Finding the Fourth Proportional to 274.78, 411.63 and 231.22

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Solution

The fourth proportional to 274.78, 411.63 and 231.22 is: 346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.78 : 411.63 = 231.22 : x
  2. Step 2: Convert to fraction form
    274.78/411.63 = 231.22/x
  3. Step 3: Cross multiply
    274.78x = 411.63 × 231.22
  4. Step 4: Simplify right side
    274.78x = 95,177.09
  5. Step 5: Solve for x
    x = 95,177.09/274.78
  6. Step 6: Final answer
    x = 346.38

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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.