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Finding the Fourth Proportional to 629.44, 868.32 and 505.26

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Solution

The fourth proportional to 629.44, 868.32 and 505.26 is: 697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.44 : 868.32 = 505.26 : x
  2. Step 2: Convert to fraction form
    629.44/868.32 = 505.26/x
  3. Step 3: Cross multiply
    629.44x = 868.32 × 505.26
  4. Step 4: Simplify right side
    629.44x = 438,727.36
  5. Step 5: Solve for x
    x = 438,727.36/629.44
  6. Step 6: Final answer
    x = 697.01

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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.