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Finding the Fourth Proportional to 454.41, 627.75 and 446.21

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Solution

The fourth proportional to 454.41, 627.75 and 446.21 is: 616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.41 : 627.75 = 446.21 : x
  2. Step 2: Convert to fraction form
    454.41/627.75 = 446.21/x
  3. Step 3: Cross multiply
    454.41x = 627.75 × 446.21
  4. Step 4: Simplify right side
    454.41x = 280,107.54
  5. Step 5: Solve for x
    x = 280,107.54/454.41
  6. Step 6: Final answer
    x = 616.42

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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.