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Finding the Fourth Proportional to 683.52, 1,024.84 and 221.20

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Solution

The fourth proportional to 683.52, 1,024.84 and 221.20 is: 331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.52 : 1,024.84 = 221.20 : x
  2. Step 2: Convert to fraction form
    683.52/1,024.84 = 221.20/x
  3. Step 3: Cross multiply
    683.52x = 1,024.84 × 221.20
  4. Step 4: Simplify right side
    683.52x = 226,694.61
  5. Step 5: Solve for x
    x = 226,694.61/683.52
  6. Step 6: Final answer
    x = 331.66

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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.