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Finding the Fourth Proportional to 596.74, 823.41 and 334.70

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Solution

The fourth proportional to 596.74, 823.41 and 334.70 is: 461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 823.41 = 334.70 : x
  2. Step 2: Convert to fraction form
    596.74/823.41 = 334.70/x
  3. Step 3: Cross multiply
    596.74x = 823.41 × 334.70
  4. Step 4: Simplify right side
    596.74x = 275,595.33
  5. Step 5: Solve for x
    x = 275,595.33/596.74
  6. Step 6: Final answer
    x = 461.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.