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Finding the Fourth Proportional to 629.53, 868.15 and 408.37

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Solution

The fourth proportional to 629.53, 868.15 and 408.37 is: 563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.53 : 868.15 = 408.37 : x
  2. Step 2: Convert to fraction form
    629.53/868.15 = 408.37/x
  3. Step 3: Cross multiply
    629.53x = 868.15 × 408.37
  4. Step 4: Simplify right side
    629.53x = 354,526.42
  5. Step 5: Solve for x
    x = 354,526.42/629.53
  6. Step 6: Final answer
    x = 563.16

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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.