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Finding the Fourth Proportional to 641.89, 885.67 and 393.27

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Solution

The fourth proportional to 641.89, 885.67 and 393.27 is: 542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.89 : 885.67 = 393.27 : x
  2. Step 2: Convert to fraction form
    641.89/885.67 = 393.27/x
  3. Step 3: Cross multiply
    641.89x = 885.67 × 393.27
  4. Step 4: Simplify right side
    641.89x = 348,307.44
  5. Step 5: Solve for x
    x = 348,307.44/641.89
  6. Step 6: Final answer
    x = 542.63

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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.