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Finding the Fourth Proportional to 641.83, 885.81 and 362.13

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Solution

The fourth proportional to 641.83, 885.81 and 362.13 is: 499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.83 : 885.81 = 362.13 : x
  2. Step 2: Convert to fraction form
    641.83/885.81 = 362.13/x
  3. Step 3: Cross multiply
    641.83x = 885.81 × 362.13
  4. Step 4: Simplify right side
    641.83x = 320,773.95
  5. Step 5: Solve for x
    x = 320,773.95/641.83
  6. Step 6: Final answer
    x = 499.78

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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.