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Finding the Fourth Proportional to 496.51, 743.96 and 252.70

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Solution

The fourth proportional to 496.51, 743.96 and 252.70 is: 378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.51 : 743.96 = 252.70 : x
  2. Step 2: Convert to fraction form
    496.51/743.96 = 252.70/x
  3. Step 3: Cross multiply
    496.51x = 743.96 × 252.70
  4. Step 4: Simplify right side
    496.51x = 188,000.94
  5. Step 5: Solve for x
    x = 188,000.94/496.51
  6. Step 6: Final answer
    x = 378.64

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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.