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Finding the Fourth Proportional to 326.99, 451.07 and 202.57

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Solution

The fourth proportional to 326.99, 451.07 and 202.57 is: 279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.99 : 451.07 = 202.57 : x
  2. Step 2: Convert to fraction form
    326.99/451.07 = 202.57/x
  3. Step 3: Cross multiply
    326.99x = 451.07 × 202.57
  4. Step 4: Simplify right side
    326.99x = 91,371.87
  5. Step 5: Solve for x
    x = 91,371.87/326.99
  6. Step 6: Final answer
    x = 279.43

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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.