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Finding the Fourth Proportional to 454.82, 627.71 and 268.29

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Solution

The fourth proportional to 454.82, 627.71 and 268.29 is: 370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.82 : 627.71 = 268.29 : x
  2. Step 2: Convert to fraction form
    454.82/627.71 = 268.29/x
  3. Step 3: Cross multiply
    454.82x = 627.71 × 268.29
  4. Step 4: Simplify right side
    454.82x = 168,406.97
  5. Step 5: Solve for x
    x = 168,406.97/454.82
  6. Step 6: Final answer
    x = 370.28

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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.