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Finding the Fourth Proportional to 470.70, 705.77 and 196.65

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Solution

The fourth proportional to 470.70, 705.77 and 196.65 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.70 : 705.77 = 196.65 : x
  2. Step 2: Convert to fraction form
    470.70/705.77 = 196.65/x
  3. Step 3: Cross multiply
    470.70x = 705.77 × 196.65
  4. Step 4: Simplify right side
    470.70x = 138,788.69
  5. Step 5: Solve for x
    x = 138,788.69/470.70
  6. Step 6: Final answer
    x = 294.86

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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.