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Finding the Fourth Proportional to 884.76, 1,327.14 and 337.41

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Solution

The fourth proportional to 884.76, 1,327.14 and 337.41 is: 506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.76 : 1,327.14 = 337.41 : x
  2. Step 2: Convert to fraction form
    884.76/1,327.14 = 337.41/x
  3. Step 3: Cross multiply
    884.76x = 1,327.14 × 337.41
  4. Step 4: Simplify right side
    884.76x = 447,790.31
  5. Step 5: Solve for x
    x = 447,790.31/884.76
  6. Step 6: Final answer
    x = 506.12

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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.