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Finding the Fourth Proportional to 394.41, 591.64 and 120.50

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Solution

The fourth proportional to 394.41, 591.64 and 120.50 is: 180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.41 : 591.64 = 120.50 : x
  2. Step 2: Convert to fraction form
    394.41/591.64 = 120.50/x
  3. Step 3: Cross multiply
    394.41x = 591.64 × 120.50
  4. Step 4: Simplify right side
    394.41x = 71,294.25
  5. Step 5: Solve for x
    x = 71,294.25/394.41
  6. Step 6: Final answer
    x = 180.76

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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.