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Finding the Fourth Proportional to 465.14, 697.71 and 191.17

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Solution

The fourth proportional to 465.14, 697.71 and 191.17 is: 286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 697.71 = 191.17 : x
  2. Step 2: Convert to fraction form
    465.14/697.71 = 191.17/x
  3. Step 3: Cross multiply
    465.14x = 697.71 × 191.17
  4. Step 4: Simplify right side
    465.14x = 133,382.81
  5. Step 5: Solve for x
    x = 133,382.81/465.14
  6. Step 6: Final answer
    x = 286.76

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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.