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Finding the Fourth Proportional to 596.37, 894.56 and 231.16

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Solution

The fourth proportional to 596.37, 894.56 and 231.16 is: 346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.37 : 894.56 = 231.16 : x
  2. Step 2: Convert to fraction form
    596.37/894.56 = 231.16/x
  3. Step 3: Cross multiply
    596.37x = 894.56 × 231.16
  4. Step 4: Simplify right side
    596.37x = 206,786.49
  5. Step 5: Solve for x
    x = 206,786.49/596.37
  6. Step 6: Final answer
    x = 346.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.