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Finding the Fourth Proportional to 366.78, 502.52 and 361.65

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Solution

The fourth proportional to 366.78, 502.52 and 361.65 is: 495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.78 : 502.52 = 361.65 : x
  2. Step 2: Convert to fraction form
    366.78/502.52 = 361.65/x
  3. Step 3: Cross multiply
    366.78x = 502.52 × 361.65
  4. Step 4: Simplify right side
    366.78x = 181,736.24
  5. Step 5: Solve for x
    x = 181,736.24/366.78
  6. Step 6: Final answer
    x = 495.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.