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Finding the Fourth Proportional to 641.16, 885.22 and 493.52

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Solution

The fourth proportional to 641.16, 885.22 and 493.52 is: 681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.16 : 885.22 = 493.52 : x
  2. Step 2: Convert to fraction form
    641.16/885.22 = 493.52/x
  3. Step 3: Cross multiply
    641.16x = 885.22 × 493.52
  4. Step 4: Simplify right side
    641.16x = 436,873.77
  5. Step 5: Solve for x
    x = 436,873.77/641.16
  6. Step 6: Final answer
    x = 681.38

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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.