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Finding the Fourth Proportional to 596.09, 894.12 and 163.25

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Solution

The fourth proportional to 596.09, 894.12 and 163.25 is: 244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.09 : 894.12 = 163.25 : x
  2. Step 2: Convert to fraction form
    596.09/894.12 = 163.25/x
  3. Step 3: Cross multiply
    596.09x = 894.12 × 163.25
  4. Step 4: Simplify right side
    596.09x = 145,965.09
  5. Step 5: Solve for x
    x = 145,965.09/596.09
  6. Step 6: Final answer
    x = 244.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.