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Finding the Fourth Proportional to 366.99, 509.96 and 363.24

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Solution

The fourth proportional to 366.99, 509.96 and 363.24 is: 504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.99 : 509.96 = 363.24 : x
  2. Step 2: Convert to fraction form
    366.99/509.96 = 363.24/x
  3. Step 3: Cross multiply
    366.99x = 509.96 × 363.24
  4. Step 4: Simplify right side
    366.99x = 185,236.05
  5. Step 5: Solve for x
    x = 185,236.05/366.99
  6. Step 6: Final answer
    x = 504.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.