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Finding the Fourth Proportional to 629.76, 869.14 and 381.10

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Solution

The fourth proportional to 629.76, 869.14 and 381.10 is: 525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.76 : 869.14 = 381.10 : x
  2. Step 2: Convert to fraction form
    629.76/869.14 = 381.10/x
  3. Step 3: Cross multiply
    629.76x = 869.14 × 381.10
  4. Step 4: Simplify right side
    629.76x = 331,229.25
  5. Step 5: Solve for x
    x = 331,229.25/629.76
  6. Step 6: Final answer
    x = 525.96

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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.