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Finding the Fourth Proportional to 538.27, 806.83 and 209.11

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Solution

The fourth proportional to 538.27, 806.83 and 209.11 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.27 : 806.83 = 209.11 : x
  2. Step 2: Convert to fraction form
    538.27/806.83 = 209.11/x
  3. Step 3: Cross multiply
    538.27x = 806.83 × 209.11
  4. Step 4: Simplify right side
    538.27x = 168,716.22
  5. Step 5: Solve for x
    x = 168,716.22/538.27
  6. Step 6: Final answer
    x = 313.44

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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.