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Finding the Fourth Proportional to 465.89, 698.24 and 234.83

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Solution

The fourth proportional to 465.89, 698.24 and 234.83 is: 351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.89 : 698.24 = 234.83 : x
  2. Step 2: Convert to fraction form
    465.89/698.24 = 234.83/x
  3. Step 3: Cross multiply
    465.89x = 698.24 × 234.83
  4. Step 4: Simplify right side
    465.89x = 163,970.03
  5. Step 5: Solve for x
    x = 163,970.03/465.89
  6. Step 6: Final answer
    x = 351.95

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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.