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Finding the Fourth Proportional to 397.63, 596.38 and 109

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Solution

The fourth proportional to 397.63, 596.38 and 109 is: 163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.63 : 596.38 = 109 : x
  2. Step 2: Convert to fraction form
    397.63/596.38 = 109/x
  3. Step 3: Cross multiply
    397.63x = 596.38 × 109
  4. Step 4: Simplify right side
    397.63x = 65,005.42
  5. Step 5: Solve for x
    x = 65,005.42/397.63
  6. Step 6: Final answer
    x = 163.48

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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.