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Finding the Fourth Proportional to 596.59, 823.31 and 334.58

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Solution

The fourth proportional to 596.59, 823.31 and 334.58 is: 461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.59 : 823.31 = 334.58 : x
  2. Step 2: Convert to fraction form
    596.59/823.31 = 334.58/x
  3. Step 3: Cross multiply
    596.59x = 823.31 × 334.58
  4. Step 4: Simplify right side
    596.59x = 275,463.06
  5. Step 5: Solve for x
    x = 275,463.06/596.59
  6. Step 6: Final answer
    x = 461.73

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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.