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Finding the Fourth Proportional to 472.12, 708.39 and 252.69

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Solution

The fourth proportional to 472.12, 708.39 and 252.69 is: 379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 708.39 = 252.69 : x
  2. Step 2: Convert to fraction form
    472.12/708.39 = 252.69/x
  3. Step 3: Cross multiply
    472.12x = 708.39 × 252.69
  4. Step 4: Simplify right side
    472.12x = 179,003.33
  5. Step 5: Solve for x
    x = 179,003.33/472.12
  6. Step 6: Final answer
    x = 379.15

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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.