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Finding the Fourth Proportional to 493.07, 680.41 and 271.97

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Solution

The fourth proportional to 493.07, 680.41 and 271.97 is: 375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.07 : 680.41 = 271.97 : x
  2. Step 2: Convert to fraction form
    493.07/680.41 = 271.97/x
  3. Step 3: Cross multiply
    493.07x = 680.41 × 271.97
  4. Step 4: Simplify right side
    493.07x = 185,052.13
  5. Step 5: Solve for x
    x = 185,052.13/493.07
  6. Step 6: Final answer
    x = 375.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.