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Finding the Fourth Proportional to 414.20, 620.47 and 311.60

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Solution

The fourth proportional to 414.20, 620.47 and 311.60 is: 466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.20 : 620.47 = 311.60 : x
  2. Step 2: Convert to fraction form
    414.20/620.47 = 311.60/x
  3. Step 3: Cross multiply
    414.20x = 620.47 × 311.60
  4. Step 4: Simplify right side
    414.20x = 193,338.45
  5. Step 5: Solve for x
    x = 193,338.45/414.20
  6. Step 6: Final answer
    x = 466.78

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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.