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Finding the Fourth Proportional to 326.72, 451.36 and 298.56

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Solution

The fourth proportional to 326.72, 451.36 and 298.56 is: 412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.72 : 451.36 = 298.56 : x
  2. Step 2: Convert to fraction form
    326.72/451.36 = 298.56/x
  3. Step 3: Cross multiply
    326.72x = 451.36 × 298.56
  4. Step 4: Simplify right side
    326.72x = 134,758.04
  5. Step 5: Solve for x
    x = 134,758.04/326.72
  6. Step 6: Final answer
    x = 412.46

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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.