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Finding the Fourth Proportional to 629.92, 943.92 and 466.84

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Solution

The fourth proportional to 629.92, 943.92 and 466.84 is: 699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.92 : 943.92 = 466.84 : x
  2. Step 2: Convert to fraction form
    629.92/943.92 = 466.84/x
  3. Step 3: Cross multiply
    629.92x = 943.92 × 466.84
  4. Step 4: Simplify right side
    629.92x = 440,659.61
  5. Step 5: Solve for x
    x = 440,659.61/629.92
  6. Step 6: Final answer
    x = 699.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.