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Finding the Fourth Proportional to 629.32, 868.46 and 345.75

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Solution

The fourth proportional to 629.32, 868.46 and 345.75 is: 477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.32 : 868.46 = 345.75 : x
  2. Step 2: Convert to fraction form
    629.32/868.46 = 345.75/x
  3. Step 3: Cross multiply
    629.32x = 868.46 × 345.75
  4. Step 4: Simplify right side
    629.32x = 300,270.05
  5. Step 5: Solve for x
    x = 300,270.05/629.32
  6. Step 6: Final answer
    x = 477.13

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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.