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Finding the Fourth Proportional to 682.10, 1,023.26 and 219.84

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Solution

The fourth proportional to 682.10, 1,023.26 and 219.84 is: 329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.10 : 1,023.26 = 219.84 : x
  2. Step 2: Convert to fraction form
    682.10/1,023.26 = 219.84/x
  3. Step 3: Cross multiply
    682.10x = 1,023.26 × 219.84
  4. Step 4: Simplify right side
    682.10x = 224,952.04
  5. Step 5: Solve for x
    x = 224,952.04/682.10
  6. Step 6: Final answer
    x = 329.80

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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.