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Finding the Fourth Proportional to 394.23, 591.37 and 120.30

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Solution

The fourth proportional to 394.23, 591.37 and 120.30 is: 180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.23 : 591.37 = 120.30 : x
  2. Step 2: Convert to fraction form
    394.23/591.37 = 120.30/x
  3. Step 3: Cross multiply
    394.23x = 591.37 × 120.30
  4. Step 4: Simplify right side
    394.23x = 71,142.11
  5. Step 5: Solve for x
    x = 71,142.11/394.23
  6. Step 6: Final answer
    x = 180.46

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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.