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Finding the Fourth Proportional to 328.11, 491.31 and 230.46

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Solution

The fourth proportional to 328.11, 491.31 and 230.46 is: 345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.11 : 491.31 = 230.46 : x
  2. Step 2: Convert to fraction form
    328.11/491.31 = 230.46/x
  3. Step 3: Cross multiply
    328.11x = 491.31 × 230.46
  4. Step 4: Simplify right side
    328.11x = 113,227.30
  5. Step 5: Solve for x
    x = 113,227.30/328.11
  6. Step 6: Final answer
    x = 345.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.