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Finding the Fourth Proportional to 365.68, 504.96 and 249.52

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Solution

The fourth proportional to 365.68, 504.96 and 249.52 is: 344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.68 : 504.96 = 249.52 : x
  2. Step 2: Convert to fraction form
    365.68/504.96 = 249.52/x
  3. Step 3: Cross multiply
    365.68x = 504.96 × 249.52
  4. Step 4: Simplify right side
    365.68x = 125,997.62
  5. Step 5: Solve for x
    x = 125,997.62/365.68
  6. Step 6: Final answer
    x = 344.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.