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Finding the Fourth Proportional to 454.57, 682.11 and 198.07

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Solution

The fourth proportional to 454.57, 682.11 and 198.07 is: 297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.57 : 682.11 = 198.07 : x
  2. Step 2: Convert to fraction form
    454.57/682.11 = 198.07/x
  3. Step 3: Cross multiply
    454.57x = 682.11 × 198.07
  4. Step 4: Simplify right side
    454.57x = 135,105.53
  5. Step 5: Solve for x
    x = 135,105.53/454.57
  6. Step 6: Final answer
    x = 297.22

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