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Finding the Fourth Proportional to 774.25, 1,161.49 and 226.36

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Solution

The fourth proportional to 774.25, 1,161.49 and 226.36 is: 339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.25 : 1,161.49 = 226.36 : x
  2. Step 2: Convert to fraction form
    774.25/1,161.49 = 226.36/x
  3. Step 3: Cross multiply
    774.25x = 1,161.49 × 226.36
  4. Step 4: Simplify right side
    774.25x = 262,916.19
  5. Step 5: Solve for x
    x = 262,916.19/774.25
  6. Step 6: Final answer
    x = 339.58

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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.