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Finding the Fourth Proportional to 596.59, 823.29 and 334.60

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Solution

The fourth proportional to 596.59, 823.29 and 334.60 is: 461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.59 : 823.29 = 334.60 : x
  2. Step 2: Convert to fraction form
    596.59/823.29 = 334.60/x
  3. Step 3: Cross multiply
    596.59x = 823.29 × 334.60
  4. Step 4: Simplify right side
    596.59x = 275,472.83
  5. Step 5: Solve for x
    x = 275,472.83/596.59
  6. Step 6: Final answer
    x = 461.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.