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Finding the Fourth Proportional to 441.37, 662.23 and 197.73

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Solution

The fourth proportional to 441.37, 662.23 and 197.73 is: 296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.37 : 662.23 = 197.73 : x
  2. Step 2: Convert to fraction form
    441.37/662.23 = 197.73/x
  3. Step 3: Cross multiply
    441.37x = 662.23 × 197.73
  4. Step 4: Simplify right side
    441.37x = 130,942.74
  5. Step 5: Solve for x
    x = 130,942.74/441.37
  6. Step 6: Final answer
    x = 296.67

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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.