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Finding the Fourth Proportional to 394.10, 591 and 120.12

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Solution

The fourth proportional to 394.10, 591 and 120.12 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.10 : 591 = 120.12 : x
  2. Step 2: Convert to fraction form
    394.10/591 = 120.12/x
  3. Step 3: Cross multiply
    394.10x = 591 × 120.12
  4. Step 4: Simplify right side
    394.10x = 70,990.92
  5. Step 5: Solve for x
    x = 70,990.92/394.10
  6. Step 6: Final answer
    x = 180.13

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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.