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Finding the Fourth Proportional to 641.66, 885.33 and 379.76

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Solution

The fourth proportional to 641.66, 885.33 and 379.76 is: 523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.66 : 885.33 = 379.76 : x
  2. Step 2: Convert to fraction form
    641.66/885.33 = 379.76/x
  3. Step 3: Cross multiply
    641.66x = 885.33 × 379.76
  4. Step 4: Simplify right side
    641.66x = 336,212.92
  5. Step 5: Solve for x
    x = 336,212.92/641.66
  6. Step 6: Final answer
    x = 523.97

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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.