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Finding the Fourth Proportional to 819.56, 1,230.56 and 333.56

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Solution

The fourth proportional to 819.56, 1,230.56 and 333.56 is: 500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.56 : 1,230.56 = 333.56 : x
  2. Step 2: Convert to fraction form
    819.56/1,230.56 = 333.56/x
  3. Step 3: Cross multiply
    819.56x = 1,230.56 × 333.56
  4. Step 4: Simplify right side
    819.56x = 410,457.77
  5. Step 5: Solve for x
    x = 410,457.77/819.56
  6. Step 6: Final answer
    x = 500.83

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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.