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Finding the Fourth Proportional to 629.81, 869.09 and 364.27

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Solution

The fourth proportional to 629.81, 869.09 and 364.27 is: 502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.81 : 869.09 = 364.27 : x
  2. Step 2: Convert to fraction form
    629.81/869.09 = 364.27/x
  3. Step 3: Cross multiply
    629.81x = 869.09 × 364.27
  4. Step 4: Simplify right side
    629.81x = 316,583.41
  5. Step 5: Solve for x
    x = 316,583.41/629.81
  6. Step 6: Final answer
    x = 502.66

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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.