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Finding the Fourth Proportional to 493.67, 680.96 and 294.37

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Solution

The fourth proportional to 493.67, 680.96 and 294.37 is: 406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.67 : 680.96 = 294.37 : x
  2. Step 2: Convert to fraction form
    493.67/680.96 = 294.37/x
  3. Step 3: Cross multiply
    493.67x = 680.96 × 294.37
  4. Step 4: Simplify right side
    493.67x = 200,449.32
  5. Step 5: Solve for x
    x = 200,449.32/493.67
  6. Step 6: Final answer
    x = 406.04

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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.