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Finding the Fourth Proportional to 817.35, 1,226.09 and 269.56

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Solution

The fourth proportional to 817.35, 1,226.09 and 269.56 is: 404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.35 : 1,226.09 = 269.56 : x
  2. Step 2: Convert to fraction form
    817.35/1,226.09 = 269.56/x
  3. Step 3: Cross multiply
    817.35x = 1,226.09 × 269.56
  4. Step 4: Simplify right side
    817.35x = 330,504.82
  5. Step 5: Solve for x
    x = 330,504.82/817.35
  6. Step 6: Final answer
    x = 404.36

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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.