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Finding the Fourth Proportional to 495.82, 743.81 and 252.21

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Solution

The fourth proportional to 495.82, 743.81 and 252.21 is: 378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.82 : 743.81 = 252.21 : x
  2. Step 2: Convert to fraction form
    495.82/743.81 = 252.21/x
  3. Step 3: Cross multiply
    495.82x = 743.81 × 252.21
  4. Step 4: Simplify right side
    495.82x = 187,598.56
  5. Step 5: Solve for x
    x = 187,598.56/495.82
  6. Step 6: Final answer
    x = 378.36

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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.