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Finding the Fourth Proportional to 326.31, 450.33 and 256.49

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Solution

The fourth proportional to 326.31, 450.33 and 256.49 is: 353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.31 : 450.33 = 256.49 : x
  2. Step 2: Convert to fraction form
    326.31/450.33 = 256.49/x
  3. Step 3: Cross multiply
    326.31x = 450.33 × 256.49
  4. Step 4: Simplify right side
    326.31x = 115,505.14
  5. Step 5: Solve for x
    x = 115,505.14/326.31
  6. Step 6: Final answer
    x = 353.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.