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Finding the Fourth Proportional to 641.62, 885.41 and 361.84

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Solution

The fourth proportional to 641.62, 885.41 and 361.84 is: 499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.62 : 885.41 = 361.84 : x
  2. Step 2: Convert to fraction form
    641.62/885.41 = 361.84/x
  3. Step 3: Cross multiply
    641.62x = 885.41 × 361.84
  4. Step 4: Simplify right side
    641.62x = 320,376.75
  5. Step 5: Solve for x
    x = 320,376.75/641.62
  6. Step 6: Final answer
    x = 499.32

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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.