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Finding the Fourth Proportional to 871.30, 1,306.92 and 323.47

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Solution

The fourth proportional to 871.30, 1,306.92 and 323.47 is: 485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.30 : 1,306.92 = 323.47 : x
  2. Step 2: Convert to fraction form
    871.30/1,306.92 = 323.47/x
  3. Step 3: Cross multiply
    871.30x = 1,306.92 × 323.47
  4. Step 4: Simplify right side
    871.30x = 422,749.41
  5. Step 5: Solve for x
    x = 422,749.41/871.30
  6. Step 6: Final answer
    x = 485.19

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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.