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Finding the Fourth Proportional to 359.87, 496.37 and 249.30

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Solution

The fourth proportional to 359.87, 496.37 and 249.30 is: 343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.87 : 496.37 = 249.30 : x
  2. Step 2: Convert to fraction form
    359.87/496.37 = 249.30/x
  3. Step 3: Cross multiply
    359.87x = 496.37 × 249.30
  4. Step 4: Simplify right side
    359.87x = 123,743.79
  5. Step 5: Solve for x
    x = 123,743.79/359.87
  6. Step 6: Final answer
    x = 343.86

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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.