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Finding the Fourth Proportional to 599.87, 827.89 and 351.20

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Solution

The fourth proportional to 599.87, 827.89 and 351.20 is: 484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.87 : 827.89 = 351.20 : x
  2. Step 2: Convert to fraction form
    599.87/827.89 = 351.20/x
  3. Step 3: Cross multiply
    599.87x = 827.89 × 351.20
  4. Step 4: Simplify right side
    599.87x = 290,756.16
  5. Step 5: Solve for x
    x = 290,756.16/599.87
  6. Step 6: Final answer
    x = 484.70

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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.