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Finding the Fourth Proportional to 596.26, 823.37 and 375.58

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Solution

The fourth proportional to 596.26, 823.37 and 375.58 is: 518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 823.37 = 375.58 : x
  2. Step 2: Convert to fraction form
    596.26/823.37 = 375.58/x
  3. Step 3: Cross multiply
    596.26x = 823.37 × 375.58
  4. Step 4: Simplify right side
    596.26x = 309,241.30
  5. Step 5: Solve for x
    x = 309,241.30/596.26
  6. Step 6: Final answer
    x = 518.63

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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.