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Finding the Fourth Proportional to 397.88, 596.85 and 109.31

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Solution

The fourth proportional to 397.88, 596.85 and 109.31 is: 163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 596.85 = 109.31 : x
  2. Step 2: Convert to fraction form
    397.88/596.85 = 109.31/x
  3. Step 3: Cross multiply
    397.88x = 596.85 × 109.31
  4. Step 4: Simplify right side
    397.88x = 65,242.76
  5. Step 5: Solve for x
    x = 65,242.76/397.88
  6. Step 6: Final answer
    x = 163.98

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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.