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Finding the Fourth Proportional to 382.47, 527.76 and 249.63

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Solution

The fourth proportional to 382.47, 527.76 and 249.63 is: 344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.47 : 527.76 = 249.63 : x
  2. Step 2: Convert to fraction form
    382.47/527.76 = 249.63/x
  3. Step 3: Cross multiply
    382.47x = 527.76 × 249.63
  4. Step 4: Simplify right side
    382.47x = 131,744.73
  5. Step 5: Solve for x
    x = 131,744.73/382.47
  6. Step 6: Final answer
    x = 344.46

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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.