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Finding the Fourth Proportional to 359.90, 496.76 and 212.48

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Solution

The fourth proportional to 359.90, 496.76 and 212.48 is: 293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.90 : 496.76 = 212.48 : x
  2. Step 2: Convert to fraction form
    359.90/496.76 = 212.48/x
  3. Step 3: Cross multiply
    359.90x = 496.76 × 212.48
  4. Step 4: Simplify right side
    359.90x = 105,551.56
  5. Step 5: Solve for x
    x = 105,551.56/359.90
  6. Step 6: Final answer
    x = 293.28

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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.