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Finding the Fourth Proportional to 884.85, 1,327.11 and 337.06

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Solution

The fourth proportional to 884.85, 1,327.11 and 337.06 is: 505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.85 : 1,327.11 = 337.06 : x
  2. Step 2: Convert to fraction form
    884.85/1,327.11 = 337.06/x
  3. Step 3: Cross multiply
    884.85x = 1,327.11 × 337.06
  4. Step 4: Simplify right side
    884.85x = 447,315.70
  5. Step 5: Solve for x
    x = 447,315.70/884.85
  6. Step 6: Final answer
    x = 505.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.