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Finding the Fourth Proportional to 414.05, 620.22 and 208.34

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Solution

The fourth proportional to 414.05, 620.22 and 208.34 is: 312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.05 : 620.22 = 208.34 : x
  2. Step 2: Convert to fraction form
    414.05/620.22 = 208.34/x
  3. Step 3: Cross multiply
    414.05x = 620.22 × 208.34
  4. Step 4: Simplify right side
    414.05x = 129,216.64
  5. Step 5: Solve for x
    x = 129,216.64/414.05
  6. Step 6: Final answer
    x = 312.08

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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.