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Finding the Fourth Proportional to 672.31, 927.43 and 392.46

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Solution

The fourth proportional to 672.31, 927.43 and 392.46 is: 541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.31 : 927.43 = 392.46 : x
  2. Step 2: Convert to fraction form
    672.31/927.43 = 392.46/x
  3. Step 3: Cross multiply
    672.31x = 927.43 × 392.46
  4. Step 4: Simplify right side
    672.31x = 363,979.18
  5. Step 5: Solve for x
    x = 363,979.18/672.31
  6. Step 6: Final answer
    x = 541.39

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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.