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Finding the Fourth Proportional to 359.86, 496.47 and 212.44

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Solution

The fourth proportional to 359.86, 496.47 and 212.44 is: 293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.86 : 496.47 = 212.44 : x
  2. Step 2: Convert to fraction form
    359.86/496.47 = 212.44/x
  3. Step 3: Cross multiply
    359.86x = 496.47 × 212.44
  4. Step 4: Simplify right side
    359.86x = 105,470.09
  5. Step 5: Solve for x
    x = 105,470.09/359.86
  6. Step 6: Final answer
    x = 293.09

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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.