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Finding the Fourth Proportional to 359.82, 496.50 and 212.45

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Solution

The fourth proportional to 359.82, 496.50 and 212.45 is: 293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.82 : 496.50 = 212.45 : x
  2. Step 2: Convert to fraction form
    359.82/496.50 = 212.45/x
  3. Step 3: Cross multiply
    359.82x = 496.50 × 212.45
  4. Step 4: Simplify right side
    359.82x = 105,481.33
  5. Step 5: Solve for x
    x = 105,481.33/359.82
  6. Step 6: Final answer
    x = 293.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.