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Finding the Fourth Proportional to 589.27, 813.19 and 323.73

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Solution

The fourth proportional to 589.27, 813.19 and 323.73 is: 446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.27 : 813.19 = 323.73 : x
  2. Step 2: Convert to fraction form
    589.27/813.19 = 323.73/x
  3. Step 3: Cross multiply
    589.27x = 813.19 × 323.73
  4. Step 4: Simplify right side
    589.27x = 263,257.28
  5. Step 5: Solve for x
    x = 263,257.28/589.27
  6. Step 6: Final answer
    x = 446.75

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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.