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Finding the Fourth Proportional to 393.14, 589.82 and 230.48

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Solution

The fourth proportional to 393.14, 589.82 and 230.48 is: 345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.14 : 589.82 = 230.48 : x
  2. Step 2: Convert to fraction form
    393.14/589.82 = 230.48/x
  3. Step 3: Cross multiply
    393.14x = 589.82 × 230.48
  4. Step 4: Simplify right side
    393.14x = 135,939.34
  5. Step 5: Solve for x
    x = 135,939.34/393.14
  6. Step 6: Final answer
    x = 345.78

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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.