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Finding the Fourth Proportional to 599.91, 827.97 and 351.29

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Solution

The fourth proportional to 599.91, 827.97 and 351.29 is: 484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.91 : 827.97 = 351.29 : x
  2. Step 2: Convert to fraction form
    599.91/827.97 = 351.29/x
  3. Step 3: Cross multiply
    599.91x = 827.97 × 351.29
  4. Step 4: Simplify right side
    599.91x = 290,855.65
  5. Step 5: Solve for x
    x = 290,855.65/599.91
  6. Step 6: Final answer
    x = 484.84

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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.