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Finding the Fourth Proportional to 596.24, 822.81 and 334.31

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Solution

The fourth proportional to 596.24, 822.81 and 334.31 is: 461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.24 : 822.81 = 334.31 : x
  2. Step 2: Convert to fraction form
    596.24/822.81 = 334.31/x
  3. Step 3: Cross multiply
    596.24x = 822.81 × 334.31
  4. Step 4: Simplify right side
    596.24x = 275,069.50
  5. Step 5: Solve for x
    x = 275,069.50/596.24
  6. Step 6: Final answer
    x = 461.34

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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.