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Finding the Fourth Proportional to 470.75, 706.12 and 182.39

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Solution

The fourth proportional to 470.75, 706.12 and 182.39 is: 273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.75 : 706.12 = 182.39 : x
  2. Step 2: Convert to fraction form
    470.75/706.12 = 182.39/x
  3. Step 3: Cross multiply
    470.75x = 706.12 × 182.39
  4. Step 4: Simplify right side
    470.75x = 128,785.24
  5. Step 5: Solve for x
    x = 128,785.24/470.75
  6. Step 6: Final answer
    x = 273.58

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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.