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Finding the Fourth Proportional to 322.41, 444.77 and 191.33

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Solution

The fourth proportional to 322.41, 444.77 and 191.33 is: 263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.41 : 444.77 = 191.33 : x
  2. Step 2: Convert to fraction form
    322.41/444.77 = 191.33/x
  3. Step 3: Cross multiply
    322.41x = 444.77 × 191.33
  4. Step 4: Simplify right side
    322.41x = 85,098.13
  5. Step 5: Solve for x
    x = 85,098.13/322.41
  6. Step 6: Final answer
    x = 263.94

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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.