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Finding the Fourth Proportional to 414.30, 620.19 and 252.30

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Solution

The fourth proportional to 414.30, 620.19 and 252.30 is: 377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.30 : 620.19 = 252.30 : x
  2. Step 2: Convert to fraction form
    414.30/620.19 = 252.30/x
  3. Step 3: Cross multiply
    414.30x = 620.19 × 252.30
  4. Step 4: Simplify right side
    414.30x = 156,473.94
  5. Step 5: Solve for x
    x = 156,473.94/414.30
  6. Step 6: Final answer
    x = 377.68

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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.