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Finding the Fourth Proportional to 363.58, 542.42 and 311.62

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Solution

The fourth proportional to 363.58, 542.42 and 311.62 is: 464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.58 : 542.42 = 311.62 : x
  2. Step 2: Convert to fraction form
    363.58/542.42 = 311.62/x
  3. Step 3: Cross multiply
    363.58x = 542.42 × 311.62
  4. Step 4: Simplify right side
    363.58x = 169,028.92
  5. Step 5: Solve for x
    x = 169,028.92/363.58
  6. Step 6: Final answer
    x = 464.90

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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.