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Finding the Fourth Proportional to 465.62, 698.49 and 191.63

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Solution

The fourth proportional to 465.62, 698.49 and 191.63 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.62 : 698.49 = 191.63 : x
  2. Step 2: Convert to fraction form
    465.62/698.49 = 191.63/x
  3. Step 3: Cross multiply
    465.62x = 698.49 × 191.63
  4. Step 4: Simplify right side
    465.62x = 133,848.15
  5. Step 5: Solve for x
    x = 133,848.15/465.62
  6. Step 6: Final answer
    x = 287.47

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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.