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Finding the Fourth Proportional to 599.72, 827.39 and 350.96

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Solution

The fourth proportional to 599.72, 827.39 and 350.96 is: 484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.72 : 827.39 = 350.96 : x
  2. Step 2: Convert to fraction form
    599.72/827.39 = 350.96/x
  3. Step 3: Cross multiply
    599.72x = 827.39 × 350.96
  4. Step 4: Simplify right side
    599.72x = 290,383.74
  5. Step 5: Solve for x
    x = 290,383.74/599.72
  6. Step 6: Final answer
    x = 484.20

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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.