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Finding the Fourth Proportional to 589.97, 813.80 and 424.41

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Solution

The fourth proportional to 589.97, 813.80 and 424.41 is: 585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.97 : 813.80 = 424.41 : x
  2. Step 2: Convert to fraction form
    589.97/813.80 = 424.41/x
  3. Step 3: Cross multiply
    589.97x = 813.80 × 424.41
  4. Step 4: Simplify right side
    589.97x = 345,382.44
  5. Step 5: Solve for x
    x = 345,382.44/589.97
  6. Step 6: Final answer
    x = 585.42

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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.