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Finding the Fourth Proportional to 875.20, 1,311.64 and 326.83

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Solution

The fourth proportional to 875.20, 1,311.64 and 326.83 is: 489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.20 : 1,311.64 = 326.83 : x
  2. Step 2: Convert to fraction form
    875.20/1,311.64 = 326.83/x
  3. Step 3: Cross multiply
    875.20x = 1,311.64 × 326.83
  4. Step 4: Simplify right side
    875.20x = 428,683.30
  5. Step 5: Solve for x
    x = 428,683.30/875.20
  6. Step 6: Final answer
    x = 489.81

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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.