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Finding the Fourth Proportional to 326.16, 447.60 and 296.88

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Solution

The fourth proportional to 326.16, 447.60 and 296.88 is: 407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.16 : 447.60 = 296.88 : x
  2. Step 2: Convert to fraction form
    326.16/447.60 = 296.88/x
  3. Step 3: Cross multiply
    326.16x = 447.60 × 296.88
  4. Step 4: Simplify right side
    326.16x = 132,883.49
  5. Step 5: Solve for x
    x = 132,883.49/326.16
  6. Step 6: Final answer
    x = 407.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.