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Finding the Fourth Proportional to 325.37, 449.31 and 209.13

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Solution

The fourth proportional to 325.37, 449.31 and 209.13 is: 288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.37 : 449.31 = 209.13 : x
  2. Step 2: Convert to fraction form
    325.37/449.31 = 209.13/x
  3. Step 3: Cross multiply
    325.37x = 449.31 × 209.13
  4. Step 4: Simplify right side
    325.37x = 93,964.20
  5. Step 5: Solve for x
    x = 93,964.20/325.37
  6. Step 6: Final answer
    x = 288.79

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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.