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Finding the Fourth Proportional to 274.79, 412.17 and 82.41

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Solution

The fourth proportional to 274.79, 412.17 and 82.41 is: 123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.79 : 412.17 = 82.41 : x
  2. Step 2: Convert to fraction form
    274.79/412.17 = 82.41/x
  3. Step 3: Cross multiply
    274.79x = 412.17 × 82.41
  4. Step 4: Simplify right side
    274.79x = 33,966.93
  5. Step 5: Solve for x
    x = 33,966.93/274.79
  6. Step 6: Final answer
    x = 123.61

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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.