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Finding the Fourth Proportional to 327, 451.26 and 299.46

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Solution

The fourth proportional to 327, 451.26 and 299.46 is: 413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327 : 451.26 = 299.46 : x
  2. Step 2: Convert to fraction form
    327/451.26 = 299.46/x
  3. Step 3: Cross multiply
    327x = 451.26 × 299.46
  4. Step 4: Simplify right side
    327x = 135,134.32
  5. Step 5: Solve for x
    x = 135,134.32/327
  6. Step 6: Final answer
    x = 413.25

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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.