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Finding the Fourth Proportional to 465.49, 698.57 and 191.83

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Solution

The fourth proportional to 465.49, 698.57 and 191.83 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.49 : 698.57 = 191.83 : x
  2. Step 2: Convert to fraction form
    465.49/698.57 = 191.83/x
  3. Step 3: Cross multiply
    465.49x = 698.57 × 191.83
  4. Step 4: Simplify right side
    465.49x = 134,006.68
  5. Step 5: Solve for x
    x = 134,006.68/465.49
  6. Step 6: Final answer
    x = 287.88

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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.