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Finding the Fourth Proportional to 359.39, 496.17 and 276.33

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Solution

The fourth proportional to 359.39, 496.17 and 276.33 is: 381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.39 : 496.17 = 276.33 : x
  2. Step 2: Convert to fraction form
    359.39/496.17 = 276.33/x
  3. Step 3: Cross multiply
    359.39x = 496.17 × 276.33
  4. Step 4: Simplify right side
    359.39x = 137,105.27
  5. Step 5: Solve for x
    x = 137,105.27/359.39
  6. Step 6: Final answer
    x = 381.50

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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.