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Finding the Fourth Proportional to 454.94, 627.73 and 268.46

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Solution

The fourth proportional to 454.94, 627.73 and 268.46 is: 370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.94 : 627.73 = 268.46 : x
  2. Step 2: Convert to fraction form
    454.94/627.73 = 268.46/x
  3. Step 3: Cross multiply
    454.94x = 627.73 × 268.46
  4. Step 4: Simplify right side
    454.94x = 168,516.59
  5. Step 5: Solve for x
    x = 168,516.59/454.94
  6. Step 6: Final answer
    x = 370.42

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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.