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Finding the Fourth Proportional to 682.49, 1,023.22 and 219.99

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Solution

The fourth proportional to 682.49, 1,023.22 and 219.99 is: 329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.49 : 1,023.22 = 219.99 : x
  2. Step 2: Convert to fraction form
    682.49/1,023.22 = 219.99/x
  3. Step 3: Cross multiply
    682.49x = 1,023.22 × 219.99
  4. Step 4: Simplify right side
    682.49x = 225,099.09
  5. Step 5: Solve for x
    x = 225,099.09/682.49
  6. Step 6: Final answer
    x = 329.82

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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.