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Finding the Fourth Proportional to 491.21, 677.92 and 294.71

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Solution

The fourth proportional to 491.21, 677.92 and 294.71 is: 406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.21 : 677.92 = 294.71 : x
  2. Step 2: Convert to fraction form
    491.21/677.92 = 294.71/x
  3. Step 3: Cross multiply
    491.21x = 677.92 × 294.71
  4. Step 4: Simplify right side
    491.21x = 199,789.80
  5. Step 5: Solve for x
    x = 199,789.80/491.21
  6. Step 6: Final answer
    x = 406.73

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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.