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Finding the Fourth Proportional to 596.97, 823.84 and 334.98

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Solution

The fourth proportional to 596.97, 823.84 and 334.98 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.97 : 823.84 = 334.98 : x
  2. Step 2: Convert to fraction form
    596.97/823.84 = 334.98/x
  3. Step 3: Cross multiply
    596.97x = 823.84 × 334.98
  4. Step 4: Simplify right side
    596.97x = 275,969.09
  5. Step 5: Solve for x
    x = 275,969.09/596.97
  6. Step 6: Final answer
    x = 462.28

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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.