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Finding the Fourth Proportional to 359.89, 496.46 and 212.37

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Solution

The fourth proportional to 359.89, 496.46 and 212.37 is: 292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.89 : 496.46 = 212.37 : x
  2. Step 2: Convert to fraction form
    359.89/496.46 = 212.37/x
  3. Step 3: Cross multiply
    359.89x = 496.46 × 212.37
  4. Step 4: Simplify right side
    359.89x = 105,433.21
  5. Step 5: Solve for x
    x = 105,433.21/359.89
  6. Step 6: Final answer
    x = 292.96

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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.