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Finding the Fourth Proportional to 629.62, 868.54 and 511.72

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Solution

The fourth proportional to 629.62, 868.54 and 511.72 is: 705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.62 : 868.54 = 511.72 : x
  2. Step 2: Convert to fraction form
    629.62/868.54 = 511.72/x
  3. Step 3: Cross multiply
    629.62x = 868.54 × 511.72
  4. Step 4: Simplify right side
    629.62x = 444,450.14
  5. Step 5: Solve for x
    x = 444,450.14/629.62
  6. Step 6: Final answer
    x = 705.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.