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Finding the Fourth Proportional to 454.94, 627.85 and 268.42

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Solution

The fourth proportional to 454.94, 627.85 and 268.42 is: 370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.94 : 627.85 = 268.42 : x
  2. Step 2: Convert to fraction form
    454.94/627.85 = 268.42/x
  3. Step 3: Cross multiply
    454.94x = 627.85 × 268.42
  4. Step 4: Simplify right side
    454.94x = 168,527.50
  5. Step 5: Solve for x
    x = 168,527.50/454.94
  6. Step 6: Final answer
    x = 370.44

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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.