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Finding the Fourth Proportional to 490.79, 736.08 and 243.74

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Solution

The fourth proportional to 490.79, 736.08 and 243.74 is: 365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.79 : 736.08 = 243.74 : x
  2. Step 2: Convert to fraction form
    490.79/736.08 = 243.74/x
  3. Step 3: Cross multiply
    490.79x = 736.08 × 243.74
  4. Step 4: Simplify right side
    490.79x = 179,412.14
  5. Step 5: Solve for x
    x = 179,412.14/490.79
  6. Step 6: Final answer
    x = 365.56

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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.