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Finding the Fourth Proportional to 380.09, 524.87 and 249.41

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Solution

The fourth proportional to 380.09, 524.87 and 249.41 is: 344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 524.87 = 249.41 : x
  2. Step 2: Convert to fraction form
    380.09/524.87 = 249.41/x
  3. Step 3: Cross multiply
    380.09x = 524.87 × 249.41
  4. Step 4: Simplify right side
    380.09x = 130,903.96
  5. Step 5: Solve for x
    x = 130,903.96/380.09
  6. Step 6: Final answer
    x = 344.41

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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.