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Finding the Fourth Proportional to 884.73, 1,327.34 and 329.49

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Solution

The fourth proportional to 884.73, 1,327.34 and 329.49 is: 494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.73 : 1,327.34 = 329.49 : x
  2. Step 2: Convert to fraction form
    884.73/1,327.34 = 329.49/x
  3. Step 3: Cross multiply
    884.73x = 1,327.34 × 329.49
  4. Step 4: Simplify right side
    884.73x = 437,343.61
  5. Step 5: Solve for x
    x = 437,343.61/884.73
  6. Step 6: Final answer
    x = 494.33

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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.