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Finding the Fourth Proportional to 596.31, 822.92 and 334.32

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Solution

The fourth proportional to 596.31, 822.92 and 334.32 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.31 : 822.92 = 334.32 : x
  2. Step 2: Convert to fraction form
    596.31/822.92 = 334.32/x
  3. Step 3: Cross multiply
    596.31x = 822.92 × 334.32
  4. Step 4: Simplify right side
    596.31x = 275,116.94
  5. Step 5: Solve for x
    x = 275,116.94/596.31
  6. Step 6: Final answer
    x = 461.37

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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.