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Finding the Fourth Proportional to 326.97, 450.97 and 202.70

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Solution

The fourth proportional to 326.97, 450.97 and 202.70 is: 279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.97 : 450.97 = 202.70 : x
  2. Step 2: Convert to fraction form
    326.97/450.97 = 202.70/x
  3. Step 3: Cross multiply
    326.97x = 450.97 × 202.70
  4. Step 4: Simplify right side
    326.97x = 91,412.24
  5. Step 5: Solve for x
    x = 91,412.24/326.97
  6. Step 6: Final answer
    x = 279.57

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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.