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Finding the Fourth Proportional to 470.57, 706.08 and 196.65

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Solution

The fourth proportional to 470.57, 706.08 and 196.65 is: 295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 706.08 = 196.65 : x
  2. Step 2: Convert to fraction form
    470.57/706.08 = 196.65/x
  3. Step 3: Cross multiply
    470.57x = 706.08 × 196.65
  4. Step 4: Simplify right side
    470.57x = 138,850.63
  5. Step 5: Solve for x
    x = 138,850.63/470.57
  6. Step 6: Final answer
    x = 295.07

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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.