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Finding the Fourth Proportional to 493.27, 680.71 and 272.24

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Solution

The fourth proportional to 493.27, 680.71 and 272.24 is: 375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.27 : 680.71 = 272.24 : x
  2. Step 2: Convert to fraction form
    493.27/680.71 = 272.24/x
  3. Step 3: Cross multiply
    493.27x = 680.71 × 272.24
  4. Step 4: Simplify right side
    493.27x = 185,313.09
  5. Step 5: Solve for x
    x = 185,313.09/493.27
  6. Step 6: Final answer
    x = 375.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.