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Finding the Fourth Proportional to 682.44, 1,023.84 and 220.29

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Solution

The fourth proportional to 682.44, 1,023.84 and 220.29 is: 330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.44 : 1,023.84 = 220.29 : x
  2. Step 2: Convert to fraction form
    682.44/1,023.84 = 220.29/x
  3. Step 3: Cross multiply
    682.44x = 1,023.84 × 220.29
  4. Step 4: Simplify right side
    682.44x = 225,541.71
  5. Step 5: Solve for x
    x = 225,541.71/682.44
  6. Step 6: Final answer
    x = 330.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.