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Finding the Fourth Proportional to 414.38, 621.38 and 208.91

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Solution

The fourth proportional to 414.38, 621.38 and 208.91 is: 313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.38 : 621.38 = 208.91 : x
  2. Step 2: Convert to fraction form
    414.38/621.38 = 208.91/x
  3. Step 3: Cross multiply
    414.38x = 621.38 × 208.91
  4. Step 4: Simplify right side
    414.38x = 129,814.57
  5. Step 5: Solve for x
    x = 129,814.57/414.38
  6. Step 6: Final answer
    x = 313.27

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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.