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Finding the Fourth Proportional to 359.69, 496.37 and 204.44

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Solution

The fourth proportional to 359.69, 496.37 and 204.44 is: 282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.69 : 496.37 = 204.44 : x
  2. Step 2: Convert to fraction form
    359.69/496.37 = 204.44/x
  3. Step 3: Cross multiply
    359.69x = 496.37 × 204.44
  4. Step 4: Simplify right side
    359.69x = 101,476.64
  5. Step 5: Solve for x
    x = 101,476.64/359.69
  6. Step 6: Final answer
    x = 282.12

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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.