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Finding the Fourth Proportional to 359.78, 496.49 and 212.42

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Solution

The fourth proportional to 359.78, 496.49 and 212.42 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.78 : 496.49 = 212.42 : x
  2. Step 2: Convert to fraction form
    359.78/496.49 = 212.42/x
  3. Step 3: Cross multiply
    359.78x = 496.49 × 212.42
  4. Step 4: Simplify right side
    359.78x = 105,464.41
  5. Step 5: Solve for x
    x = 105,464.41/359.78
  6. Step 6: Final answer
    x = 293.14

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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.