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Finding the Fourth Proportional to 641.05, 884.32 and 493.63

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Solution

The fourth proportional to 641.05, 884.32 and 493.63 is: 680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.05 : 884.32 = 493.63 : x
  2. Step 2: Convert to fraction form
    641.05/884.32 = 493.63/x
  3. Step 3: Cross multiply
    641.05x = 884.32 × 493.63
  4. Step 4: Simplify right side
    641.05x = 436,526.88
  5. Step 5: Solve for x
    x = 436,526.88/641.05
  6. Step 6: Final answer
    x = 680.96

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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.