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Finding the Fourth Proportional to 363.99, 502.37 and 232.99

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Solution

The fourth proportional to 363.99, 502.37 and 232.99 is: 321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.99 : 502.37 = 232.99 : x
  2. Step 2: Convert to fraction form
    363.99/502.37 = 232.99/x
  3. Step 3: Cross multiply
    363.99x = 502.37 × 232.99
  4. Step 4: Simplify right side
    363.99x = 117,047.19
  5. Step 5: Solve for x
    x = 117,047.19/363.99
  6. Step 6: Final answer
    x = 321.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.