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Finding the Fourth Proportional to 359.92, 496.74 and 272.44

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Solution

The fourth proportional to 359.92, 496.74 and 272.44 is: 376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.92 : 496.74 = 272.44 : x
  2. Step 2: Convert to fraction form
    359.92/496.74 = 272.44/x
  3. Step 3: Cross multiply
    359.92x = 496.74 × 272.44
  4. Step 4: Simplify right side
    359.92x = 135,331.85
  5. Step 5: Solve for x
    x = 135,331.85/359.92
  6. Step 6: Final answer
    x = 376.01

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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.