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Finding the Fourth Proportional to 512.44, 706.37 and 335.09

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Solution

The fourth proportional to 512.44, 706.37 and 335.09 is: 461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 706.37 = 335.09 : x
  2. Step 2: Convert to fraction form
    512.44/706.37 = 335.09/x
  3. Step 3: Cross multiply
    512.44x = 706.37 × 335.09
  4. Step 4: Simplify right side
    512.44x = 236,697.61
  5. Step 5: Solve for x
    x = 236,697.61/512.44
  6. Step 6: Final answer
    x = 461.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.