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Finding the Fourth Proportional to 414.10, 620.96 and 208.63

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Solution

The fourth proportional to 414.10, 620.96 and 208.63 is: 312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.10 : 620.96 = 208.63 : x
  2. Step 2: Convert to fraction form
    414.10/620.96 = 208.63/x
  3. Step 3: Cross multiply
    414.10x = 620.96 × 208.63
  4. Step 4: Simplify right side
    414.10x = 129,549.85
  5. Step 5: Solve for x
    x = 129,549.85/414.10
  6. Step 6: Final answer
    x = 312.85

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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.