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Finding the Fourth Proportional to 599.09, 827.07 and 422.30

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Solution

The fourth proportional to 599.09, 827.07 and 422.30 is: 583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.09 : 827.07 = 422.30 : x
  2. Step 2: Convert to fraction form
    599.09/827.07 = 422.30/x
  3. Step 3: Cross multiply
    599.09x = 827.07 × 422.30
  4. Step 4: Simplify right side
    599.09x = 349,273.73
  5. Step 5: Solve for x
    x = 349,273.73/599.09
  6. Step 6: Final answer
    x = 583.01

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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.