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Finding the Fourth Proportional to 382.48, 527.91 and 249.47

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Solution

The fourth proportional to 382.48, 527.91 and 249.47 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.48 : 527.91 = 249.47 : x
  2. Step 2: Convert to fraction form
    382.48/527.91 = 249.47/x
  3. Step 3: Cross multiply
    382.48x = 527.91 × 249.47
  4. Step 4: Simplify right side
    382.48x = 131,696.11
  5. Step 5: Solve for x
    x = 131,696.11/382.48
  6. Step 6: Final answer
    x = 344.32

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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.