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Finding the Fourth Proportional to 884.89, 1,327.38 and 337.11

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Solution

The fourth proportional to 884.89, 1,327.38 and 337.11 is: 505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.89 : 1,327.38 = 337.11 : x
  2. Step 2: Convert to fraction form
    884.89/1,327.38 = 337.11/x
  3. Step 3: Cross multiply
    884.89x = 1,327.38 × 337.11
  4. Step 4: Simplify right side
    884.89x = 447,471.39
  5. Step 5: Solve for x
    x = 447,471.39/884.89
  6. Step 6: Final answer
    x = 505.68

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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.