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Finding the Fourth Proportional to 493.01, 680.39 and 271.94

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Solution

The fourth proportional to 493.01, 680.39 and 271.94 is: 375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.01 : 680.39 = 271.94 : x
  2. Step 2: Convert to fraction form
    493.01/680.39 = 271.94/x
  3. Step 3: Cross multiply
    493.01x = 680.39 × 271.94
  4. Step 4: Simplify right side
    493.01x = 185,020.49
  5. Step 5: Solve for x
    x = 185,020.49/493.01
  6. Step 6: Final answer
    x = 375.29

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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.