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Finding the Fourth Proportional to 393.24, 589.92 and 119.34

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Solution

The fourth proportional to 393.24, 589.92 and 119.34 is: 179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.24 : 589.92 = 119.34 : x
  2. Step 2: Convert to fraction form
    393.24/589.92 = 119.34/x
  3. Step 3: Cross multiply
    393.24x = 589.92 × 119.34
  4. Step 4: Simplify right side
    393.24x = 70,401.05
  5. Step 5: Solve for x
    x = 70,401.05/393.24
  6. Step 6: Final answer
    x = 179.03

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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.