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Finding the Fourth Proportional to 321.46, 443.30 and 209.37

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Solution

The fourth proportional to 321.46, 443.30 and 209.37 is: 288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.46 : 443.30 = 209.37 : x
  2. Step 2: Convert to fraction form
    321.46/443.30 = 209.37/x
  3. Step 3: Cross multiply
    321.46x = 443.30 × 209.37
  4. Step 4: Simplify right side
    321.46x = 92,814.24
  5. Step 5: Solve for x
    x = 92,814.24/321.46
  6. Step 6: Final answer
    x = 288.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.