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Finding the Fourth Proportional to 470.97, 706.76 and 182.41

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Solution

The fourth proportional to 470.97, 706.76 and 182.41 is: 273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.97 : 706.76 = 182.41 : x
  2. Step 2: Convert to fraction form
    470.97/706.76 = 182.41/x
  3. Step 3: Cross multiply
    470.97x = 706.76 × 182.41
  4. Step 4: Simplify right side
    470.97x = 128,920.09
  5. Step 5: Solve for x
    x = 128,920.09/470.97
  6. Step 6: Final answer
    x = 273.73

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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.