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Finding the Fourth Proportional to 682.20, 1,023.05 and 220.10

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Solution

The fourth proportional to 682.20, 1,023.05 and 220.10 is: 330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.20 : 1,023.05 = 220.10 : x
  2. Step 2: Convert to fraction form
    682.20/1,023.05 = 220.10/x
  3. Step 3: Cross multiply
    682.20x = 1,023.05 × 220.10
  4. Step 4: Simplify right side
    682.20x = 225,167.09
  5. Step 5: Solve for x
    x = 225,167.09/682.20
  6. Step 6: Final answer
    x = 330.06

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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.