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Finding the Fourth Proportional to 359.80, 495.78 and 249.23

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Solution

The fourth proportional to 359.80, 495.78 and 249.23 is: 343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.80 : 495.78 = 249.23 : x
  2. Step 2: Convert to fraction form
    359.80/495.78 = 249.23/x
  3. Step 3: Cross multiply
    359.80x = 495.78 × 249.23
  4. Step 4: Simplify right side
    359.80x = 123,563.25
  5. Step 5: Solve for x
    x = 123,563.25/359.80
  6. Step 6: Final answer
    x = 343.42

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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.