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Finding the Fourth Proportional to 328.44, 453.36 and 230.22

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Solution

The fourth proportional to 328.44, 453.36 and 230.22 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.44 : 453.36 = 230.22 : x
  2. Step 2: Convert to fraction form
    328.44/453.36 = 230.22/x
  3. Step 3: Cross multiply
    328.44x = 453.36 × 230.22
  4. Step 4: Simplify right side
    328.44x = 104,372.54
  5. Step 5: Solve for x
    x = 104,372.54/328.44
  6. Step 6: Final answer
    x = 317.78

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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.