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Finding the Fourth Proportional to 380.27, 525.02 and 249.50

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Solution

The fourth proportional to 380.27, 525.02 and 249.50 is: 344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.27 : 525.02 = 249.50 : x
  2. Step 2: Convert to fraction form
    380.27/525.02 = 249.50/x
  3. Step 3: Cross multiply
    380.27x = 525.02 × 249.50
  4. Step 4: Simplify right side
    380.27x = 130,990.49
  5. Step 5: Solve for x
    x = 130,990.49/380.27
  6. Step 6: Final answer
    x = 344.47

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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.