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Finding the Fourth Proportional to 363.02, 500.78 and 246.38

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Solution

The fourth proportional to 363.02, 500.78 and 246.38 is: 339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.02 : 500.78 = 246.38 : x
  2. Step 2: Convert to fraction form
    363.02/500.78 = 246.38/x
  3. Step 3: Cross multiply
    363.02x = 500.78 × 246.38
  4. Step 4: Simplify right side
    363.02x = 123,382.18
  5. Step 5: Solve for x
    x = 123,382.18/363.02
  6. Step 6: Final answer
    x = 339.88

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Why These Related Problems?

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