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Finding the Fourth Proportional to 454.92, 627.46 and 344.20

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Solution

The fourth proportional to 454.92, 627.46 and 344.20 is: 474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 627.46 = 344.20 : x
  2. Step 2: Convert to fraction form
    454.92/627.46 = 344.20/x
  3. Step 3: Cross multiply
    454.92x = 627.46 × 344.20
  4. Step 4: Simplify right side
    454.92x = 215,971.73
  5. Step 5: Solve for x
    x = 215,971.73/454.92
  6. Step 6: Final answer
    x = 474.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.