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Finding the Fourth Proportional to 380.68, 524.86 and 249.48

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Solution

The fourth proportional to 380.68, 524.86 and 249.48 is: 343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.68 : 524.86 = 249.48 : x
  2. Step 2: Convert to fraction form
    380.68/524.86 = 249.48/x
  3. Step 3: Cross multiply
    380.68x = 524.86 × 249.48
  4. Step 4: Simplify right side
    380.68x = 130,942.07
  5. Step 5: Solve for x
    x = 130,942.07/380.68
  6. Step 6: Final answer
    x = 343.97

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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.