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Finding the Fourth Proportional to 596.77, 823.37 and 344.68

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Solution

The fourth proportional to 596.77, 823.37 and 344.68 is: 475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.77 : 823.37 = 344.68 : x
  2. Step 2: Convert to fraction form
    596.77/823.37 = 344.68/x
  3. Step 3: Cross multiply
    596.77x = 823.37 × 344.68
  4. Step 4: Simplify right side
    596.77x = 283,795.39
  5. Step 5: Solve for x
    x = 283,795.39/596.77
  6. Step 6: Final answer
    x = 475.55

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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.