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Finding the Fourth Proportional to 694.89, 1,042.41 and 329.73

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Solution

The fourth proportional to 694.89, 1,042.41 and 329.73 is: 494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.89 : 1,042.41 = 329.73 : x
  2. Step 2: Convert to fraction form
    694.89/1,042.41 = 329.73/x
  3. Step 3: Cross multiply
    694.89x = 1,042.41 × 329.73
  4. Step 4: Simplify right side
    694.89x = 343,713.85
  5. Step 5: Solve for x
    x = 343,713.85/694.89
  6. Step 6: Final answer
    x = 494.63

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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.