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Finding the Fourth Proportional to 641.46, 885.17 and 379.42

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Solution

The fourth proportional to 641.46, 885.17 and 379.42 is: 523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.46 : 885.17 = 379.42 : x
  2. Step 2: Convert to fraction form
    641.46/885.17 = 379.42/x
  3. Step 3: Cross multiply
    641.46x = 885.17 × 379.42
  4. Step 4: Simplify right side
    641.46x = 335,851.20
  5. Step 5: Solve for x
    x = 335,851.20/641.46
  6. Step 6: Final answer
    x = 523.57

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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.