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Finding the Fourth Proportional to 274.27, 410.43 and 224.92

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Solution

The fourth proportional to 274.27, 410.43 and 224.92 is: 336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.27 : 410.43 = 224.92 : x
  2. Step 2: Convert to fraction form
    274.27/410.43 = 224.92/x
  3. Step 3: Cross multiply
    274.27x = 410.43 × 224.92
  4. Step 4: Simplify right side
    274.27x = 92,313.92
  5. Step 5: Solve for x
    x = 92,313.92/274.27
  6. Step 6: Final answer
    x = 336.59

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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.