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Finding the Fourth Proportional to 599.20, 827.09 and 350.62

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Solution

The fourth proportional to 599.20, 827.09 and 350.62 is: 483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.20 : 827.09 = 350.62 : x
  2. Step 2: Convert to fraction form
    599.20/827.09 = 350.62/x
  3. Step 3: Cross multiply
    599.20x = 827.09 × 350.62
  4. Step 4: Simplify right side
    599.20x = 289,994.30
  5. Step 5: Solve for x
    x = 289,994.30/599.20
  6. Step 6: Final answer
    x = 483.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.