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Finding the Fourth Proportional to 874.14, 1,310.40 and 326.19

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Solution

The fourth proportional to 874.14, 1,310.40 and 326.19 is: 488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.14 : 1,310.40 = 326.19 : x
  2. Step 2: Convert to fraction form
    874.14/1,310.40 = 326.19/x
  3. Step 3: Cross multiply
    874.14x = 1,310.40 × 326.19
  4. Step 4: Simplify right side
    874.14x = 427,439.38
  5. Step 5: Solve for x
    x = 427,439.38/874.14
  6. Step 6: Final answer
    x = 488.98

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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.