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Finding the Fourth Proportional to 813.10, 1,219.38 and 326.20

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Solution

The fourth proportional to 813.10, 1,219.38 and 326.20 is: 489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.10 : 1,219.38 = 326.20 : x
  2. Step 2: Convert to fraction form
    813.10/1,219.38 = 326.20/x
  3. Step 3: Cross multiply
    813.10x = 1,219.38 × 326.20
  4. Step 4: Simplify right side
    813.10x = 397,761.76
  5. Step 5: Solve for x
    x = 397,761.76/813.10
  6. Step 6: Final answer
    x = 489.19

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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.