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Finding the Fourth Proportional to 454.48, 627.46 and 354.71

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Solution

The fourth proportional to 454.48, 627.46 and 354.71 is: 489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.48 : 627.46 = 354.71 : x
  2. Step 2: Convert to fraction form
    454.48/627.46 = 354.71/x
  3. Step 3: Cross multiply
    454.48x = 627.46 × 354.71
  4. Step 4: Simplify right side
    454.48x = 222,567.02
  5. Step 5: Solve for x
    x = 222,567.02/454.48
  6. Step 6: Final answer
    x = 489.72

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Why These Related Problems?

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