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Finding the Fourth Proportional to 821.20, 1,231.26 and 333.76

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Solution

The fourth proportional to 821.20, 1,231.26 and 333.76 is: 500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.20 : 1,231.26 = 333.76 : x
  2. Step 2: Convert to fraction form
    821.20/1,231.26 = 333.76/x
  3. Step 3: Cross multiply
    821.20x = 1,231.26 × 333.76
  4. Step 4: Simplify right side
    821.20x = 410,945.34
  5. Step 5: Solve for x
    x = 410,945.34/821.20
  6. Step 6: Final answer
    x = 500.42

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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.