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Finding the Fourth Proportional to 493.27, 680.77 and 306.95

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Solution

The fourth proportional to 493.27, 680.77 and 306.95 is: 423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.27 : 680.77 = 306.95 : x
  2. Step 2: Convert to fraction form
    493.27/680.77 = 306.95/x
  3. Step 3: Cross multiply
    493.27x = 680.77 × 306.95
  4. Step 4: Simplify right side
    493.27x = 208,959.33
  5. Step 5: Solve for x
    x = 208,959.33/493.27
  6. Step 6: Final answer
    x = 423.62

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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.