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Finding the Fourth Proportional to 599.36, 827.07 and 350.65

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Solution

The fourth proportional to 599.36, 827.07 and 350.65 is: 483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.36 : 827.07 = 350.65 : x
  2. Step 2: Convert to fraction form
    599.36/827.07 = 350.65/x
  3. Step 3: Cross multiply
    599.36x = 827.07 × 350.65
  4. Step 4: Simplify right side
    599.36x = 290,007.96
  5. Step 5: Solve for x
    x = 290,007.96/599.36
  6. Step 6: Final answer
    x = 483.86

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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.