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Finding the Fourth Proportional to 629.33, 868.02 and 380.54

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Solution

The fourth proportional to 629.33, 868.02 and 380.54 is: 524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.33 : 868.02 = 380.54 : x
  2. Step 2: Convert to fraction form
    629.33/868.02 = 380.54/x
  3. Step 3: Cross multiply
    629.33x = 868.02 × 380.54
  4. Step 4: Simplify right side
    629.33x = 330,316.33
  5. Step 5: Solve for x
    x = 330,316.33/629.33
  6. Step 6: Final answer
    x = 524.87

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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.