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Finding the Fourth Proportional to 496.79, 744.62 and 252.80

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Solution

The fourth proportional to 496.79, 744.62 and 252.80 is: 378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.79 : 744.62 = 252.80 : x
  2. Step 2: Convert to fraction form
    496.79/744.62 = 252.80/x
  3. Step 3: Cross multiply
    496.79x = 744.62 × 252.80
  4. Step 4: Simplify right side
    496.79x = 188,234.95
  5. Step 5: Solve for x
    x = 188,234.95/496.79
  6. Step 6: Final answer
    x = 378.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.