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Finding the Fourth Proportional to 454.57, 681.85 and 363.44

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Solution

The fourth proportional to 454.57, 681.85 and 363.44 is: 545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.57 : 681.85 = 363.44 : x
  2. Step 2: Convert to fraction form
    454.57/681.85 = 363.44/x
  3. Step 3: Cross multiply
    454.57x = 681.85 × 363.44
  4. Step 4: Simplify right side
    454.57x = 247,813.72
  5. Step 5: Solve for x
    x = 247,813.72/454.57
  6. Step 6: Final answer
    x = 545.16

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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.