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Finding the Fourth Proportional to 629.36, 868.66 and 380.69

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Solution

The fourth proportional to 629.36, 868.66 and 380.69 is: 525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.36 : 868.66 = 380.69 : x
  2. Step 2: Convert to fraction form
    629.36/868.66 = 380.69/x
  3. Step 3: Cross multiply
    629.36x = 868.66 × 380.69
  4. Step 4: Simplify right side
    629.36x = 330,690.18
  5. Step 5: Solve for x
    x = 330,690.18/629.36
  6. Step 6: Final answer
    x = 525.44

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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.