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Finding the Fourth Proportional to 465.14, 697.54 and 191.08

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Solution

The fourth proportional to 465.14, 697.54 and 191.08 is: 286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 697.54 = 191.08 : x
  2. Step 2: Convert to fraction form
    465.14/697.54 = 191.08/x
  3. Step 3: Cross multiply
    465.14x = 697.54 × 191.08
  4. Step 4: Simplify right side
    465.14x = 133,285.94
  5. Step 5: Solve for x
    x = 133,285.94/465.14
  6. Step 6: Final answer
    x = 286.55

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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.