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Finding the Fourth Proportional to 331.64, 457.26 and 269.24

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Solution

The fourth proportional to 331.64, 457.26 and 269.24 is: 371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.64 : 457.26 = 269.24 : x
  2. Step 2: Convert to fraction form
    331.64/457.26 = 269.24/x
  3. Step 3: Cross multiply
    331.64x = 457.26 × 269.24
  4. Step 4: Simplify right side
    331.64x = 123,112.68
  5. Step 5: Solve for x
    x = 123,112.68/331.64
  6. Step 6: Final answer
    x = 371.22

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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.