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Finding the Fourth Proportional to 414.75, 622.12 and 197.67

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Solution

The fourth proportional to 414.75, 622.12 and 197.67 is: 296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.75 : 622.12 = 197.67 : x
  2. Step 2: Convert to fraction form
    414.75/622.12 = 197.67/x
  3. Step 3: Cross multiply
    414.75x = 622.12 × 197.67
  4. Step 4: Simplify right side
    414.75x = 122,974.46
  5. Step 5: Solve for x
    x = 122,974.46/414.75
  6. Step 6: Final answer
    x = 296.50

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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.