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Finding the Fourth Proportional to 466.57, 698.92 and 234.78

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Solution

The fourth proportional to 466.57, 698.92 and 234.78 is: 351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.57 : 698.92 = 234.78 : x
  2. Step 2: Convert to fraction form
    466.57/698.92 = 234.78/x
  3. Step 3: Cross multiply
    466.57x = 698.92 × 234.78
  4. Step 4: Simplify right side
    466.57x = 164,092.44
  5. Step 5: Solve for x
    x = 164,092.44/466.57
  6. Step 6: Final answer
    x = 351.70

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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.