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Finding the Fourth Proportional to 465.17, 697.83 and 191.45

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Solution

The fourth proportional to 465.17, 697.83 and 191.45 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.17 : 697.83 = 191.45 : x
  2. Step 2: Convert to fraction form
    465.17/697.83 = 191.45/x
  3. Step 3: Cross multiply
    465.17x = 697.83 × 191.45
  4. Step 4: Simplify right side
    465.17x = 133,601.66
  5. Step 5: Solve for x
    x = 133,601.66/465.17
  6. Step 6: Final answer
    x = 287.21

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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.