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Finding the Fourth Proportional to 427.97, 641.91 and 119.79

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Solution

The fourth proportional to 427.97, 641.91 and 119.79 is: 179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.97 : 641.91 = 119.79 : x
  2. Step 2: Convert to fraction form
    427.97/641.91 = 119.79/x
  3. Step 3: Cross multiply
    427.97x = 641.91 × 119.79
  4. Step 4: Simplify right side
    427.97x = 76,894.40
  5. Step 5: Solve for x
    x = 76,894.40/427.97
  6. Step 6: Final answer
    x = 179.67

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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.