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Finding the Fourth Proportional to 596.39, 823.06 and 334.43

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Solution

The fourth proportional to 596.39, 823.06 and 334.43 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.39 : 823.06 = 334.43 : x
  2. Step 2: Convert to fraction form
    596.39/823.06 = 334.43/x
  3. Step 3: Cross multiply
    596.39x = 823.06 × 334.43
  4. Step 4: Simplify right side
    596.39x = 275,255.96
  5. Step 5: Solve for x
    x = 275,255.96/596.39
  6. Step 6: Final answer
    x = 461.54

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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.