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Finding the Fourth Proportional to 465.82, 698.74 and 191.84

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Solution

The fourth proportional to 465.82, 698.74 and 191.84 is: 287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.82 : 698.74 = 191.84 : x
  2. Step 2: Convert to fraction form
    465.82/698.74 = 191.84/x
  3. Step 3: Cross multiply
    465.82x = 698.74 × 191.84
  4. Step 4: Simplify right side
    465.82x = 134,042.31
  5. Step 5: Solve for x
    x = 134,042.31/465.82
  6. Step 6: Final answer
    x = 287.76

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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.