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Finding the Fourth Proportional to 326.52, 449.34 and 282.60

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Solution

The fourth proportional to 326.52, 449.34 and 282.60 is: 388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.52 : 449.34 = 282.60 : x
  2. Step 2: Convert to fraction form
    326.52/449.34 = 282.60/x
  3. Step 3: Cross multiply
    326.52x = 449.34 × 282.60
  4. Step 4: Simplify right side
    326.52x = 126,983.48
  5. Step 5: Solve for x
    x = 126,983.48/326.52
  6. Step 6: Final answer
    x = 388.90

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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.