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Finding the Fourth Proportional to 363.36, 542.89 and 360.12

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Solution

The fourth proportional to 363.36, 542.89 and 360.12 is: 538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.36 : 542.89 = 360.12 : x
  2. Step 2: Convert to fraction form
    363.36/542.89 = 360.12/x
  3. Step 3: Cross multiply
    363.36x = 542.89 × 360.12
  4. Step 4: Simplify right side
    363.36x = 195,505.55
  5. Step 5: Solve for x
    x = 195,505.55/363.36
  6. Step 6: Final answer
    x = 538.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.