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Finding the Fourth Proportional to 682.46, 1,023.69 and 220.29

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Solution

The fourth proportional to 682.46, 1,023.69 and 220.29 is: 330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.46 : 1,023.69 = 220.29 : x
  2. Step 2: Convert to fraction form
    682.46/1,023.69 = 220.29/x
  3. Step 3: Cross multiply
    682.46x = 1,023.69 × 220.29
  4. Step 4: Simplify right side
    682.46x = 225,508.67
  5. Step 5: Solve for x
    x = 225,508.67/682.46
  6. Step 6: Final answer
    x = 330.44

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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.