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Finding the Fourth Proportional to 596.49, 823.05 and 334.46

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Solution

The fourth proportional to 596.49, 823.05 and 334.46 is: 461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.49 : 823.05 = 334.46 : x
  2. Step 2: Convert to fraction form
    596.49/823.05 = 334.46/x
  3. Step 3: Cross multiply
    596.49x = 823.05 × 334.46
  4. Step 4: Simplify right side
    596.49x = 275,273.19
  5. Step 5: Solve for x
    x = 275,273.19/596.49
  6. Step 6: Final answer
    x = 461.49

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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.