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Finding the Fourth Proportional to 274.24, 410.34 and 219.97

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Solution

The fourth proportional to 274.24, 410.34 and 219.97 is: 329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 410.34 = 219.97 : x
  2. Step 2: Convert to fraction form
    274.24/410.34 = 219.97/x
  3. Step 3: Cross multiply
    274.24x = 410.34 × 219.97
  4. Step 4: Simplify right side
    274.24x = 90,262.49
  5. Step 5: Solve for x
    x = 90,262.49/274.24
  6. Step 6: Final answer
    x = 329.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.