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Finding the Fourth Proportional to 629.06, 868.11 and 353.06

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Solution

The fourth proportional to 629.06, 868.11 and 353.06 is: 487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.06 : 868.11 = 353.06 : x
  2. Step 2: Convert to fraction form
    629.06/868.11 = 353.06/x
  3. Step 3: Cross multiply
    629.06x = 868.11 × 353.06
  4. Step 4: Simplify right side
    629.06x = 306,495.76
  5. Step 5: Solve for x
    x = 306,495.76/629.06
  6. Step 6: Final answer
    x = 487.23

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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.