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Finding the Fourth Proportional to 599.56, 827.37 and 363.71

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Solution

The fourth proportional to 599.56, 827.37 and 363.71 is: 501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.56 : 827.37 = 363.71 : x
  2. Step 2: Convert to fraction form
    599.56/827.37 = 363.71/x
  3. Step 3: Cross multiply
    599.56x = 827.37 × 363.71
  4. Step 4: Simplify right side
    599.56x = 300,924.81
  5. Step 5: Solve for x
    x = 300,924.81/599.56
  6. Step 6: Final answer
    x = 501.91

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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.