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Finding the Fourth Proportional to 454.90, 627.92 and 268.33

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Solution

The fourth proportional to 454.90, 627.92 and 268.33 is: 370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.90 : 627.92 = 268.33 : x
  2. Step 2: Convert to fraction form
    454.90/627.92 = 268.33/x
  3. Step 3: Cross multiply
    454.90x = 627.92 × 268.33
  4. Step 4: Simplify right side
    454.90x = 168,489.77
  5. Step 5: Solve for x
    x = 168,489.77/454.90
  6. Step 6: Final answer
    x = 370.39

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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.