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Finding the Fourth Proportional to 874.11, 1,311.24 and 326.76

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Solution

The fourth proportional to 874.11, 1,311.24 and 326.76 is: 490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.11 : 1,311.24 = 326.76 : x
  2. Step 2: Convert to fraction form
    874.11/1,311.24 = 326.76/x
  3. Step 3: Cross multiply
    874.11x = 1,311.24 × 326.76
  4. Step 4: Simplify right side
    874.11x = 428,454.23
  5. Step 5: Solve for x
    x = 428,454.23/874.11
  6. Step 6: Final answer
    x = 490.16

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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.