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Finding the Fourth Proportional to 393.43, 589.56 and 300.82

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Solution

The fourth proportional to 393.43, 589.56 and 300.82 is: 450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.43 : 589.56 = 300.82 : x
  2. Step 2: Convert to fraction form
    393.43/589.56 = 300.82/x
  3. Step 3: Cross multiply
    393.43x = 589.56 × 300.82
  4. Step 4: Simplify right side
    393.43x = 177,351.44
  5. Step 5: Solve for x
    x = 177,351.44/393.43
  6. Step 6: Final answer
    x = 450.78

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Why These Related Problems?

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