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Finding the Fourth Proportional to 325.82, 449.34 and 209.36

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Solution

The fourth proportional to 325.82, 449.34 and 209.36 is: 288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.82 : 449.34 = 209.36 : x
  2. Step 2: Convert to fraction form
    325.82/449.34 = 209.36/x
  3. Step 3: Cross multiply
    325.82x = 449.34 × 209.36
  4. Step 4: Simplify right side
    325.82x = 94,073.82
  5. Step 5: Solve for x
    x = 94,073.82/325.82
  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.