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Finding the Fourth Proportional to 470.97, 705.89 and 196.77

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Solution

The fourth proportional to 470.97, 705.89 and 196.77 is: 294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.97 : 705.89 = 196.77 : x
  2. Step 2: Convert to fraction form
    470.97/705.89 = 196.77/x
  3. Step 3: Cross multiply
    470.97x = 705.89 × 196.77
  4. Step 4: Simplify right side
    470.97x = 138,896.99
  5. Step 5: Solve for x
    x = 138,896.99/470.97
  6. Step 6: Final answer
    x = 294.92

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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.