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Finding the Fourth Proportional to 294.69, 441.69 and 226

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Solution

The fourth proportional to 294.69, 441.69 and 226 is: 338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.69 : 441.69 = 226 : x
  2. Step 2: Convert to fraction form
    294.69/441.69 = 226/x
  3. Step 3: Cross multiply
    294.69x = 441.69 × 226
  4. Step 4: Simplify right side
    294.69x = 99,821.94
  5. Step 5: Solve for x
    x = 99,821.94/294.69
  6. Step 6: Final answer
    x = 338.74

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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.