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Finding the Fourth Proportional to 363.80, 548.42 and 360.56

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Solution

The fourth proportional to 363.80, 548.42 and 360.56 is: 543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.80 : 548.42 = 360.56 : x
  2. Step 2: Convert to fraction form
    363.80/548.42 = 360.56/x
  3. Step 3: Cross multiply
    363.80x = 548.42 × 360.56
  4. Step 4: Simplify right side
    363.80x = 197,738.32
  5. Step 5: Solve for x
    x = 197,738.32/363.80
  6. Step 6: Final answer
    x = 543.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.