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Finding the Fourth Proportional to 359.77, 496.52 and 202.43

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Solution

The fourth proportional to 359.77, 496.52 and 202.43 is: 279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.77 : 496.52 = 202.43 : x
  2. Step 2: Convert to fraction form
    359.77/496.52 = 202.43/x
  3. Step 3: Cross multiply
    359.77x = 496.52 × 202.43
  4. Step 4: Simplify right side
    359.77x = 100,508.57
  5. Step 5: Solve for x
    x = 100,508.57/359.77
  6. Step 6: Final answer
    x = 279.37

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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.