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Finding the Fourth Proportional to 493.70, 680.09 and 382.97

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Solution

The fourth proportional to 493.70, 680.09 and 382.97 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.70 : 680.09 = 382.97 : x
  2. Step 2: Convert to fraction form
    493.70/680.09 = 382.97/x
  3. Step 3: Cross multiply
    493.70x = 680.09 × 382.97
  4. Step 4: Simplify right side
    493.70x = 260,453.85
  5. Step 5: Solve for x
    x = 260,453.85/493.70
  6. Step 6: Final answer
    x = 527.56

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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.