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Finding the Fourth Proportional to 394.50, 591.65 and 120.52

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Solution

The fourth proportional to 394.50, 591.65 and 120.52 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.50 : 591.65 = 120.52 : x
  2. Step 2: Convert to fraction form
    394.50/591.65 = 120.52/x
  3. Step 3: Cross multiply
    394.50x = 591.65 × 120.52
  4. Step 4: Simplify right side
    394.50x = 71,305.66
  5. Step 5: Solve for x
    x = 71,305.66/394.50
  6. Step 6: Final answer
    x = 180.75

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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.