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Finding the Fourth Proportional to 641.92, 885.86 and 362.20

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Solution

The fourth proportional to 641.92, 885.86 and 362.20 is: 499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.92 : 885.86 = 362.20 : x
  2. Step 2: Convert to fraction form
    641.92/885.86 = 362.20/x
  3. Step 3: Cross multiply
    641.92x = 885.86 × 362.20
  4. Step 4: Simplify right side
    641.92x = 320,858.49
  5. Step 5: Solve for x
    x = 320,858.49/641.92
  6. Step 6: Final answer
    x = 499.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.