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Finding the Fourth Proportional to 817.45, 1,226.29 and 269.77

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Solution

The fourth proportional to 817.45, 1,226.29 and 269.77 is: 404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.45 : 1,226.29 = 269.77 : x
  2. Step 2: Convert to fraction form
    817.45/1,226.29 = 269.77/x
  3. Step 3: Cross multiply
    817.45x = 1,226.29 × 269.77
  4. Step 4: Simplify right side
    817.45x = 330,809.45
  5. Step 5: Solve for x
    x = 330,809.45/817.45
  6. Step 6: Final answer
    x = 404.69

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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.