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Finding the Fourth Proportional to 874.05, 1,311.15 and 326.17

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Solution

The fourth proportional to 874.05, 1,311.15 and 326.17 is: 489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.05 : 1,311.15 = 326.17 : x
  2. Step 2: Convert to fraction form
    874.05/1,311.15 = 326.17/x
  3. Step 3: Cross multiply
    874.05x = 1,311.15 × 326.17
  4. Step 4: Simplify right side
    874.05x = 427,654.52
  5. Step 5: Solve for x
    x = 427,654.52/874.05
  6. Step 6: Final answer
    x = 489.28

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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.