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Finding the Fourth Proportional to 641.87, 885.77 and 362.12

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Solution

The fourth proportional to 641.87, 885.77 and 362.12 is: 499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.87 : 885.77 = 362.12 : x
  2. Step 2: Convert to fraction form
    641.87/885.77 = 362.12/x
  3. Step 3: Cross multiply
    641.87x = 885.77 × 362.12
  4. Step 4: Simplify right side
    641.87x = 320,750.15
  5. Step 5: Solve for x
    x = 320,750.15/641.87
  6. Step 6: Final answer
    x = 499.71

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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.