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Finding the Fourth Proportional to 363.84, 544.56 and 363.12

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Solution

The fourth proportional to 363.84, 544.56 and 363.12 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 544.56 = 363.12 : x
  2. Step 2: Convert to fraction form
    363.84/544.56 = 363.12/x
  3. Step 3: Cross multiply
    363.84x = 544.56 × 363.12
  4. Step 4: Simplify right side
    363.84x = 197,740.63
  5. Step 5: Solve for x
    x = 197,740.63/363.84
  6. Step 6: Final answer
    x = 543.48

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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.