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Finding the Fourth Proportional to 363.68, 544.35 and 254.13

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Solution

The fourth proportional to 363.68, 544.35 and 254.13 is: 380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.68 : 544.35 = 254.13 : x
  2. Step 2: Convert to fraction form
    363.68/544.35 = 254.13/x
  3. Step 3: Cross multiply
    363.68x = 544.35 × 254.13
  4. Step 4: Simplify right side
    363.68x = 138,335.30
  5. Step 5: Solve for x
    x = 138,335.30/363.68
  6. Step 6: Final answer
    x = 380.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.