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Finding the Fourth Proportional to 596.38, 894.61 and 163.54

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Solution

The fourth proportional to 596.38, 894.61 and 163.54 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.38 : 894.61 = 163.54 : x
  2. Step 2: Convert to fraction form
    596.38/894.61 = 163.54/x
  3. Step 3: Cross multiply
    596.38x = 894.61 × 163.54
  4. Step 4: Simplify right side
    596.38x = 146,304.52
  5. Step 5: Solve for x
    x = 146,304.52/596.38
  6. Step 6: Final answer
    x = 245.32

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Why These Related Problems?

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