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Finding the Fourth Proportional to 629.37, 868.41 and 380.52

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Solution

The fourth proportional to 629.37, 868.41 and 380.52 is: 525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.37 : 868.41 = 380.52 : x
  2. Step 2: Convert to fraction form
    629.37/868.41 = 380.52/x
  3. Step 3: Cross multiply
    629.37x = 868.41 × 380.52
  4. Step 4: Simplify right side
    629.37x = 330,447.37
  5. Step 5: Solve for x
    x = 330,447.37/629.37
  6. Step 6: Final answer
    x = 525.04

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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.