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Finding the Fourth Proportional to 274.11, 408.84 and 231.06

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Solution

The fourth proportional to 274.11, 408.84 and 231.06 is: 344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.11 : 408.84 = 231.06 : x
  2. Step 2: Convert to fraction form
    274.11/408.84 = 231.06/x
  3. Step 3: Cross multiply
    274.11x = 408.84 × 231.06
  4. Step 4: Simplify right side
    274.11x = 94,466.57
  5. Step 5: Solve for x
    x = 94,466.57/274.11
  6. Step 6: Final answer
    x = 344.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.