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Finding the Fourth Proportional to 596.78, 823.51 and 334.73

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Solution

The fourth proportional to 596.78, 823.51 and 334.73 is: 461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.78 : 823.51 = 334.73 : x
  2. Step 2: Convert to fraction form
    596.78/823.51 = 334.73/x
  3. Step 3: Cross multiply
    596.78x = 823.51 × 334.73
  4. Step 4: Simplify right side
    596.78x = 275,648.55
  5. Step 5: Solve for x
    x = 275,648.55/596.78
  6. Step 6: Final answer
    x = 461.90

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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.