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Finding the Fourth Proportional to 884.32, 1,327.14 and 329.54

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Solution

The fourth proportional to 884.32, 1,327.14 and 329.54 is: 494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.32 : 1,327.14 = 329.54 : x
  2. Step 2: Convert to fraction form
    884.32/1,327.14 = 329.54/x
  3. Step 3: Cross multiply
    884.32x = 1,327.14 × 329.54
  4. Step 4: Simplify right side
    884.32x = 437,337.43
  5. Step 5: Solve for x
    x = 437,337.43/884.32
  6. Step 6: Final answer
    x = 494.55

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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.