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Finding the Fourth Proportional to 495.90, 743.85 and 252.27

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Solution

The fourth proportional to 495.90, 743.85 and 252.27 is: 378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.90 : 743.85 = 252.27 : x
  2. Step 2: Convert to fraction form
    495.90/743.85 = 252.27/x
  3. Step 3: Cross multiply
    495.90x = 743.85 × 252.27
  4. Step 4: Simplify right side
    495.90x = 187,651.04
  5. Step 5: Solve for x
    x = 187,651.04/495.90
  6. Step 6: Final answer
    x = 378.41

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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.