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Finding the Fourth Proportional to 326.94, 451.16 and 300.82

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Solution

The fourth proportional to 326.94, 451.16 and 300.82 is: 415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.94 : 451.16 = 300.82 : x
  2. Step 2: Convert to fraction form
    326.94/451.16 = 300.82/x
  3. Step 3: Cross multiply
    326.94x = 451.16 × 300.82
  4. Step 4: Simplify right side
    326.94x = 135,717.95
  5. Step 5: Solve for x
    x = 135,717.95/326.94
  6. Step 6: Final answer
    x = 415.12

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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.