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Finding the Fourth Proportional to 274.44, 411.28 and 233.43

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Solution

The fourth proportional to 274.44, 411.28 and 233.43 is: 349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.44 : 411.28 = 233.43 : x
  2. Step 2: Convert to fraction form
    274.44/411.28 = 233.43/x
  3. Step 3: Cross multiply
    274.44x = 411.28 × 233.43
  4. Step 4: Simplify right side
    274.44x = 96,005.28
  5. Step 5: Solve for x
    x = 96,005.28/274.44
  6. Step 6: Final answer
    x = 349.82

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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.