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Finding the Fourth Proportional to 414, 620.16 and 267.36

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Solution

The fourth proportional to 414, 620.16 and 267.36 is: 400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 620.16 = 267.36 : x
  2. Step 2: Convert to fraction form
    414/620.16 = 267.36/x
  3. Step 3: Cross multiply
    414x = 620.16 × 267.36
  4. Step 4: Simplify right side
    414x = 165,805.98
  5. Step 5: Solve for x
    x = 165,805.98/414
  6. Step 6: Final answer
    x = 400.50

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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.