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Finding the Fourth Proportional to 589.20, 813.24 and 423.78

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Solution

The fourth proportional to 589.20, 813.24 and 423.78 is: 584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 813.24 = 423.78 : x
  2. Step 2: Convert to fraction form
    589.20/813.24 = 423.78/x
  3. Step 3: Cross multiply
    589.20x = 813.24 × 423.78
  4. Step 4: Simplify right side
    589.20x = 344,634.85
  5. Step 5: Solve for x
    x = 344,634.85/589.20
  6. Step 6: Final answer
    x = 584.92

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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.