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Finding the Fourth Proportional to 629.25, 868.47 and 601.57

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Solution

The fourth proportional to 629.25, 868.47 and 601.57 is: 830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.25 : 868.47 = 601.57 : x
  2. Step 2: Convert to fraction form
    629.25/868.47 = 601.57/x
  3. Step 3: Cross multiply
    629.25x = 868.47 × 601.57
  4. Step 4: Simplify right side
    629.25x = 522,438.15
  5. Step 5: Solve for x
    x = 522,438.15/629.25
  6. Step 6: Final answer
    x = 830.26

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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.