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Finding the Fourth Proportional to 599.56, 827.30 and 350.82

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Solution

The fourth proportional to 599.56, 827.30 and 350.82 is: 484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.56 : 827.30 = 350.82 : x
  2. Step 2: Convert to fraction form
    599.56/827.30 = 350.82/x
  3. Step 3: Cross multiply
    599.56x = 827.30 × 350.82
  4. Step 4: Simplify right side
    599.56x = 290,233.39
  5. Step 5: Solve for x
    x = 290,233.39/599.56
  6. Step 6: Final answer
    x = 484.08

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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.