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Finding the Fourth Proportional to 641.53, 885.42 and 379.56

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Solution

The fourth proportional to 641.53, 885.42 and 379.56 is: 523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.53 : 885.42 = 379.56 : x
  2. Step 2: Convert to fraction form
    641.53/885.42 = 379.56/x
  3. Step 3: Cross multiply
    641.53x = 885.42 × 379.56
  4. Step 4: Simplify right side
    641.53x = 336,070.02
  5. Step 5: Solve for x
    x = 336,070.02/641.53
  6. Step 6: Final answer
    x = 523.86

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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.