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Finding the Fourth Proportional to 328.40, 453.23 and 217.83

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Solution

The fourth proportional to 328.40, 453.23 and 217.83 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.40 : 453.23 = 217.83 : x
  2. Step 2: Convert to fraction form
    328.40/453.23 = 217.83/x
  3. Step 3: Cross multiply
    328.40x = 453.23 × 217.83
  4. Step 4: Simplify right side
    328.40x = 98,727.09
  5. Step 5: Solve for x
    x = 98,727.09/328.40
  6. Step 6: Final answer
    x = 300.63

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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.