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Finding the Fourth Proportional to 470.59, 705.38 and 196.61

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Solution

The fourth proportional to 470.59, 705.38 and 196.61 is: 294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.59 : 705.38 = 196.61 : x
  2. Step 2: Convert to fraction form
    470.59/705.38 = 196.61/x
  3. Step 3: Cross multiply
    470.59x = 705.38 × 196.61
  4. Step 4: Simplify right side
    470.59x = 138,680.25
  5. Step 5: Solve for x
    x = 138,680.25/470.59
  6. Step 6: Final answer
    x = 294.70

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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.