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Finding the Fourth Proportional to 589.80, 813.89 and 324.19

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Solution

The fourth proportional to 589.80, 813.89 and 324.19 is: 447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 813.89 = 324.19 : x
  2. Step 2: Convert to fraction form
    589.80/813.89 = 324.19/x
  3. Step 3: Cross multiply
    589.80x = 813.89 × 324.19
  4. Step 4: Simplify right side
    589.80x = 263,853.38
  5. Step 5: Solve for x
    x = 263,853.38/589.80
  6. Step 6: Final answer
    x = 447.36

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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.