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Finding the Fourth Proportional to 629.67, 868.11 and 517.22

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Solution

The fourth proportional to 629.67, 868.11 and 517.22 is: 713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.67 : 868.11 = 517.22 : x
  2. Step 2: Convert to fraction form
    629.67/868.11 = 517.22/x
  3. Step 3: Cross multiply
    629.67x = 868.11 × 517.22
  4. Step 4: Simplify right side
    629.67x = 448,999.51
  5. Step 5: Solve for x
    x = 448,999.51/629.67
  6. Step 6: Final answer
    x = 713.07

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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.