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Finding the Fourth Proportional to 490.58, 736.15 and 182.45

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Solution

The fourth proportional to 490.58, 736.15 and 182.45 is: 273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.58 : 736.15 = 182.45 : x
  2. Step 2: Convert to fraction form
    490.58/736.15 = 182.45/x
  3. Step 3: Cross multiply
    490.58x = 736.15 × 182.45
  4. Step 4: Simplify right side
    490.58x = 134,310.57
  5. Step 5: Solve for x
    x = 134,310.57/490.58
  6. Step 6: Final answer
    x = 273.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.