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Finding the Fourth Proportional to 844.31, 1,265.65 and 323.96

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Solution

The fourth proportional to 844.31, 1,265.65 and 323.96 is: 485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.31 : 1,265.65 = 323.96 : x
  2. Step 2: Convert to fraction form
    844.31/1,265.65 = 323.96/x
  3. Step 3: Cross multiply
    844.31x = 1,265.65 × 323.96
  4. Step 4: Simplify right side
    844.31x = 410,012.84
  5. Step 5: Solve for x
    x = 410,012.84/844.31
  6. Step 6: Final answer
    x = 485.62

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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.