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Finding the Fourth Proportional to 414.07, 620.29 and 311.47

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Solution

The fourth proportional to 414.07, 620.29 and 311.47 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.07 : 620.29 = 311.47 : x
  2. Step 2: Convert to fraction form
    414.07/620.29 = 311.47/x
  3. Step 3: Cross multiply
    414.07x = 620.29 × 311.47
  4. Step 4: Simplify right side
    414.07x = 193,201.73
  5. Step 5: Solve for x
    x = 193,201.73/414.07
  6. Step 6: Final answer
    x = 466.59

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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.