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Finding the Fourth Proportional to 629.71, 868.96 and 364.07

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Solution

The fourth proportional to 629.71, 868.96 and 364.07 is: 502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.71 : 868.96 = 364.07 : x
  2. Step 2: Convert to fraction form
    629.71/868.96 = 364.07/x
  3. Step 3: Cross multiply
    629.71x = 868.96 × 364.07
  4. Step 4: Simplify right side
    629.71x = 316,362.27
  5. Step 5: Solve for x
    x = 316,362.27/629.71
  6. Step 6: Final answer
    x = 502.39

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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.