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Finding the Fourth Proportional to 446.27, 616.12 and 280.73

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Solution

The fourth proportional to 446.27, 616.12 and 280.73 is: 387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.27 : 616.12 = 280.73 : x
  2. Step 2: Convert to fraction form
    446.27/616.12 = 280.73/x
  3. Step 3: Cross multiply
    446.27x = 616.12 × 280.73
  4. Step 4: Simplify right side
    446.27x = 172,964.21
  5. Step 5: Solve for x
    x = 172,964.21/446.27
  6. Step 6: Final answer
    x = 387.58

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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.