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Finding the Fourth Proportional to 380.28, 524.73 and 249.27

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Solution

The fourth proportional to 380.28, 524.73 and 249.27 is: 343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.28 : 524.73 = 249.27 : x
  2. Step 2: Convert to fraction form
    380.28/524.73 = 249.27/x
  3. Step 3: Cross multiply
    380.28x = 524.73 × 249.27
  4. Step 4: Simplify right side
    380.28x = 130,799.45
  5. Step 5: Solve for x
    x = 130,799.45/380.28
  6. Step 6: Final answer
    x = 343.96

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Why These Related Problems?

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