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Finding the Fourth Proportional to 446.97, 616.64 and 280.89

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Solution

The fourth proportional to 446.97, 616.64 and 280.89 is: 387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.97 : 616.64 = 280.89 : x
  2. Step 2: Convert to fraction form
    446.97/616.64 = 280.89/x
  3. Step 3: Cross multiply
    446.97x = 616.64 × 280.89
  4. Step 4: Simplify right side
    446.97x = 173,206.61
  5. Step 5: Solve for x
    x = 173,206.61/446.97
  6. Step 6: Final answer
    x = 387.51

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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.