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Finding the Fourth Proportional to 622.62, 857.83 and 517.11

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Solution

The fourth proportional to 622.62, 857.83 and 517.11 is: 712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.62 : 857.83 = 517.11 : x
  2. Step 2: Convert to fraction form
    622.62/857.83 = 517.11/x
  3. Step 3: Cross multiply
    622.62x = 857.83 × 517.11
  4. Step 4: Simplify right side
    622.62x = 443,592.47
  5. Step 5: Solve for x
    x = 443,592.47/622.62
  6. Step 6: Final answer
    x = 712.46

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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.