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Finding the Fourth Proportional to 397.56, 596.41 and 119.91

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Solution

The fourth proportional to 397.56, 596.41 and 119.91 is: 179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 596.41 = 119.91 : x
  2. Step 2: Convert to fraction form
    397.56/596.41 = 119.91/x
  3. Step 3: Cross multiply
    397.56x = 596.41 × 119.91
  4. Step 4: Simplify right side
    397.56x = 71,515.22
  5. Step 5: Solve for x
    x = 71,515.22/397.56
  6. Step 6: Final answer
    x = 179.89

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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.