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Finding the Fourth Proportional to 359.78, 496.53 and 249.62

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Solution

The fourth proportional to 359.78, 496.53 and 249.62 is: 344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.78 : 496.53 = 249.62 : x
  2. Step 2: Convert to fraction form
    359.78/496.53 = 249.62/x
  3. Step 3: Cross multiply
    359.78x = 496.53 × 249.62
  4. Step 4: Simplify right side
    359.78x = 123,943.82
  5. Step 5: Solve for x
    x = 123,943.82/359.78
  6. Step 6: Final answer
    x = 344.50

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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.