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Finding the Fourth Proportional to 495.45, 742.77 and 252.27

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Solution

The fourth proportional to 495.45, 742.77 and 252.27 is: 378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.45 : 742.77 = 252.27 : x
  2. Step 2: Convert to fraction form
    495.45/742.77 = 252.27/x
  3. Step 3: Cross multiply
    495.45x = 742.77 × 252.27
  4. Step 4: Simplify right side
    495.45x = 187,378.59
  5. Step 5: Solve for x
    x = 187,378.59/495.45
  6. Step 6: Final answer
    x = 378.20

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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.