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Finding the Fourth Proportional to 274.26, 409.52 and 243.48

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Solution

The fourth proportional to 274.26, 409.52 and 243.48 is: 363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.26 : 409.52 = 243.48 : x
  2. Step 2: Convert to fraction form
    274.26/409.52 = 243.48/x
  3. Step 3: Cross multiply
    274.26x = 409.52 × 243.48
  4. Step 4: Simplify right side
    274.26x = 99,709.93
  5. Step 5: Solve for x
    x = 99,709.93/274.26
  6. Step 6: Final answer
    x = 363.56

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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.