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Finding the Fourth Proportional to 414.44, 620.92 and 298.32

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Solution

The fourth proportional to 414.44, 620.92 and 298.32 is: 446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.44 : 620.92 = 298.32 : x
  2. Step 2: Convert to fraction form
    414.44/620.92 = 298.32/x
  3. Step 3: Cross multiply
    414.44x = 620.92 × 298.32
  4. Step 4: Simplify right side
    414.44x = 185,232.85
  5. Step 5: Solve for x
    x = 185,232.85/414.44
  6. Step 6: Final answer
    x = 446.95

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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.