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Finding the Fourth Proportional to 629.29, 868.34 and 380.71

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Solution

The fourth proportional to 629.29, 868.34 and 380.71 is: 525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.29 : 868.34 = 380.71 : x
  2. Step 2: Convert to fraction form
    629.29/868.34 = 380.71/x
  3. Step 3: Cross multiply
    629.29x = 868.34 × 380.71
  4. Step 4: Simplify right side
    629.29x = 330,579.48
  5. Step 5: Solve for x
    x = 330,579.48/629.29
  6. Step 6: Final answer
    x = 525.33

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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.