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Finding the Fourth Proportional to 809.97, 1,215.09 and 323.37

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Solution

The fourth proportional to 809.97, 1,215.09 and 323.37 is: 485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.97 : 1,215.09 = 323.37 : x
  2. Step 2: Convert to fraction form
    809.97/1,215.09 = 323.37/x
  3. Step 3: Cross multiply
    809.97x = 1,215.09 × 323.37
  4. Step 4: Simplify right side
    809.97x = 392,923.65
  5. Step 5: Solve for x
    x = 392,923.65/809.97
  6. Step 6: Final answer
    x = 485.11

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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.