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Finding the Fourth Proportional to 294.44, 443.27 and 269.33

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Solution

The fourth proportional to 294.44, 443.27 and 269.33 is: 405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.44 : 443.27 = 269.33 : x
  2. Step 2: Convert to fraction form
    294.44/443.27 = 269.33/x
  3. Step 3: Cross multiply
    294.44x = 443.27 × 269.33
  4. Step 4: Simplify right side
    294.44x = 119,384.37
  5. Step 5: Solve for x
    x = 119,384.37/294.44
  6. Step 6: Final answer
    x = 405.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.