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Finding the Fourth Proportional to 672.31, 927.82 and 475.89

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Solution

The fourth proportional to 672.31, 927.82 and 475.89 is: 656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.31 : 927.82 = 475.89 : x
  2. Step 2: Convert to fraction form
    672.31/927.82 = 475.89/x
  3. Step 3: Cross multiply
    672.31x = 927.82 × 475.89
  4. Step 4: Simplify right side
    672.31x = 441,540.26
  5. Step 5: Solve for x
    x = 441,540.26/672.31
  6. Step 6: Final answer
    x = 656.75

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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.