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Finding the Fourth Proportional to 454.75, 682.31 and 198.43

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Solution

The fourth proportional to 454.75, 682.31 and 198.43 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.75 : 682.31 = 198.43 : x
  2. Step 2: Convert to fraction form
    454.75/682.31 = 198.43/x
  3. Step 3: Cross multiply
    454.75x = 682.31 × 198.43
  4. Step 4: Simplify right side
    454.75x = 135,390.77
  5. Step 5: Solve for x
    x = 135,390.77/454.75
  6. Step 6: Final answer
    x = 297.73

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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.