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Finding the Fourth Proportional to 414.16, 620.92 and 208.52

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Solution

The fourth proportional to 414.16, 620.92 and 208.52 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 620.92 = 208.52 : x
  2. Step 2: Convert to fraction form
    414.16/620.92 = 208.52/x
  3. Step 3: Cross multiply
    414.16x = 620.92 × 208.52
  4. Step 4: Simplify right side
    414.16x = 129,474.24
  5. Step 5: Solve for x
    x = 129,474.24/414.16
  6. Step 6: Final answer
    x = 312.62

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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.