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Finding the Fourth Proportional to 359.42, 496.01 and 212.06

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Solution

The fourth proportional to 359.42, 496.01 and 212.06 is: 292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.42 : 496.01 = 212.06 : x
  2. Step 2: Convert to fraction form
    359.42/496.01 = 212.06/x
  3. Step 3: Cross multiply
    359.42x = 496.01 × 212.06
  4. Step 4: Simplify right side
    359.42x = 105,183.88
  5. Step 5: Solve for x
    x = 105,183.88/359.42
  6. Step 6: Final answer
    x = 292.65

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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.