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Finding the Fourth Proportional to 414.43, 620.02 and 299.10

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Solution

The fourth proportional to 414.43, 620.02 and 299.10 is: 447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.43 : 620.02 = 299.10 : x
  2. Step 2: Convert to fraction form
    414.43/620.02 = 299.10/x
  3. Step 3: Cross multiply
    414.43x = 620.02 × 299.10
  4. Step 4: Simplify right side
    414.43x = 185,447.98
  5. Step 5: Solve for x
    x = 185,447.98/414.43
  6. Step 6: Final answer
    x = 447.48

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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.