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Finding the Fourth Proportional to 394.59, 591.86 and 120.67

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Solution

The fourth proportional to 394.59, 591.86 and 120.67 is: 180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.59 : 591.86 = 120.67 : x
  2. Step 2: Convert to fraction form
    394.59/591.86 = 120.67/x
  3. Step 3: Cross multiply
    394.59x = 591.86 × 120.67
  4. Step 4: Simplify right side
    394.59x = 71,416.18
  5. Step 5: Solve for x
    x = 71,416.18/394.59
  6. Step 6: Final answer
    x = 180.99

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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.