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Finding the Fourth Proportional to 629.35, 868.60 and 380.70

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Solution

The fourth proportional to 629.35, 868.60 and 380.70 is: 525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.35 : 868.60 = 380.70 : x
  2. Step 2: Convert to fraction form
    629.35/868.60 = 380.70/x
  3. Step 3: Cross multiply
    629.35x = 868.60 × 380.70
  4. Step 4: Simplify right side
    629.35x = 330,676.02
  5. Step 5: Solve for x
    x = 330,676.02/629.35
  6. Step 6: Final answer
    x = 525.42

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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.