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Finding the Fourth Proportional to 596.70, 823.41 and 334.71

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Solution

The fourth proportional to 596.70, 823.41 and 334.71 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.70 : 823.41 = 334.71 : x
  2. Step 2: Convert to fraction form
    596.70/823.41 = 334.71/x
  3. Step 3: Cross multiply
    596.70x = 823.41 × 334.71
  4. Step 4: Simplify right side
    596.70x = 275,603.56
  5. Step 5: Solve for x
    x = 275,603.56/596.70
  6. Step 6: Final answer
    x = 461.88

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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.