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Finding the Fourth Proportional to 394.12, 591.30 and 120.24

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Solution

The fourth proportional to 394.12, 591.30 and 120.24 is: 180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.12 : 591.30 = 120.24 : x
  2. Step 2: Convert to fraction form
    394.12/591.30 = 120.24/x
  3. Step 3: Cross multiply
    394.12x = 591.30 × 120.24
  4. Step 4: Simplify right side
    394.12x = 71,094.35
  5. Step 5: Solve for x
    x = 71,094.35/394.12
  6. Step 6: Final answer
    x = 180.39

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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.