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Finding the Fourth Proportional to 328.97, 453.49 and 218.24

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Solution

The fourth proportional to 328.97, 453.49 and 218.24 is: 300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.97 : 453.49 = 218.24 : x
  2. Step 2: Convert to fraction form
    328.97/453.49 = 218.24/x
  3. Step 3: Cross multiply
    328.97x = 453.49 × 218.24
  4. Step 4: Simplify right side
    328.97x = 98,969.66
  5. Step 5: Solve for x
    x = 98,969.66/328.97
  6. Step 6: Final answer
    x = 300.85

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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.