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Finding the Fourth Proportional to 446.80, 616.22 and 280.70

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Solution

The fourth proportional to 446.80, 616.22 and 280.70 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.80 : 616.22 = 280.70 : x
  2. Step 2: Convert to fraction form
    446.80/616.22 = 280.70/x
  3. Step 3: Cross multiply
    446.80x = 616.22 × 280.70
  4. Step 4: Simplify right side
    446.80x = 172,972.95
  5. Step 5: Solve for x
    x = 172,972.95/446.80
  6. Step 6: Final answer
    x = 387.14

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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.