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Finding the Fourth Proportional to 446.97, 616.80 and 260.46

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Solution

The fourth proportional to 446.97, 616.80 and 260.46 is: 359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.97 : 616.80 = 260.46 : x
  2. Step 2: Convert to fraction form
    446.97/616.80 = 260.46/x
  3. Step 3: Cross multiply
    446.97x = 616.80 × 260.46
  4. Step 4: Simplify right side
    446.97x = 160,651.73
  5. Step 5: Solve for x
    x = 160,651.73/446.97
  6. Step 6: Final answer
    x = 359.42

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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.