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Finding the Fourth Proportional to 380.78, 524.62 and 249.56

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Solution

The fourth proportional to 380.78, 524.62 and 249.56 is: 343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.78 : 524.62 = 249.56 : x
  2. Step 2: Convert to fraction form
    380.78/524.62 = 249.56/x
  3. Step 3: Cross multiply
    380.78x = 524.62 × 249.56
  4. Step 4: Simplify right side
    380.78x = 130,924.17
  5. Step 5: Solve for x
    x = 130,924.17/380.78
  6. Step 6: Final answer
    x = 343.83

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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.