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Finding the Fourth Proportional to 495.92, 743.60 and 252.56

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Solution

The fourth proportional to 495.92, 743.60 and 252.56 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.92 : 743.60 = 252.56 : x
  2. Step 2: Convert to fraction form
    495.92/743.60 = 252.56/x
  3. Step 3: Cross multiply
    495.92x = 743.60 × 252.56
  4. Step 4: Simplify right side
    495.92x = 187,800.53
  5. Step 5: Solve for x
    x = 187,800.53/495.92
  6. Step 6: Final answer
    x = 378.69

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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.