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Finding the Fourth Proportional to 618.95, 928.42 and 272.28

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Solution

The fourth proportional to 618.95, 928.42 and 272.28 is: 408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.95 : 928.42 = 272.28 : x
  2. Step 2: Convert to fraction form
    618.95/928.42 = 272.28/x
  3. Step 3: Cross multiply
    618.95x = 928.42 × 272.28
  4. Step 4: Simplify right side
    618.95x = 252,793.73
  5. Step 5: Solve for x
    x = 252,793.73/618.95
  6. Step 6: Final answer
    x = 408.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.