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Finding the Fourth Proportional to 596.94, 823.75 and 334.97

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Solution

The fourth proportional to 596.94, 823.75 and 334.97 is: 462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.94 : 823.75 = 334.97 : x
  2. Step 2: Convert to fraction form
    596.94/823.75 = 334.97/x
  3. Step 3: Cross multiply
    596.94x = 823.75 × 334.97
  4. Step 4: Simplify right side
    596.94x = 275,932.76
  5. Step 5: Solve for x
    x = 275,932.76/596.94
  6. Step 6: Final answer
    x = 462.25

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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.