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Finding the Fourth Proportional to 496.72, 743.70 and 252.05

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Solution

The fourth proportional to 496.72, 743.70 and 252.05 is: 377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.72 : 743.70 = 252.05 : x
  2. Step 2: Convert to fraction form
    496.72/743.70 = 252.05/x
  3. Step 3: Cross multiply
    496.72x = 743.70 × 252.05
  4. Step 4: Simplify right side
    496.72x = 187,446.81
  5. Step 5: Solve for x
    x = 187,446.81/496.72
  6. Step 6: Final answer
    x = 377.37

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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.