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Finding the Fourth Proportional to 328.48, 453.37 and 217.96

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Solution

The fourth proportional to 328.48, 453.37 and 217.96 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.48 : 453.37 = 217.96 : x
  2. Step 2: Convert to fraction form
    328.48/453.37 = 217.96/x
  3. Step 3: Cross multiply
    328.48x = 453.37 × 217.96
  4. Step 4: Simplify right side
    328.48x = 98,816.53
  5. Step 5: Solve for x
    x = 98,816.53/328.48
  6. Step 6: Final answer
    x = 300.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.