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Finding the Fourth Proportional to 629.49, 868.66 and 345.92

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Solution

The fourth proportional to 629.49, 868.66 and 345.92 is: 477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.49 : 868.66 = 345.92 : x
  2. Step 2: Convert to fraction form
    629.49/868.66 = 345.92/x
  3. Step 3: Cross multiply
    629.49x = 868.66 × 345.92
  4. Step 4: Simplify right side
    629.49x = 300,486.87
  5. Step 5: Solve for x
    x = 300,486.87/629.49
  6. Step 6: Final answer
    x = 477.35

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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.