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Finding the Fourth Proportional to 325.43, 449.34 and 255.83

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Solution

The fourth proportional to 325.43, 449.34 and 255.83 is: 353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.43 : 449.34 = 255.83 : x
  2. Step 2: Convert to fraction form
    325.43/449.34 = 255.83/x
  3. Step 3: Cross multiply
    325.43x = 449.34 × 255.83
  4. Step 4: Simplify right side
    325.43x = 114,954.65
  5. Step 5: Solve for x
    x = 114,954.65/325.43
  6. Step 6: Final answer
    x = 353.24

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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.