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Finding the Fourth Proportional to 808.22, 1,212.17 and 397.09

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Solution

The fourth proportional to 808.22, 1,212.17 and 397.09 is: 595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.22 : 1,212.17 = 397.09 : x
  2. Step 2: Convert to fraction form
    808.22/1,212.17 = 397.09/x
  3. Step 3: Cross multiply
    808.22x = 1,212.17 × 397.09
  4. Step 4: Simplify right side
    808.22x = 481,340.59
  5. Step 5: Solve for x
    x = 481,340.59/808.22
  6. Step 6: Final answer
    x = 595.56

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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.