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Finding the Fourth Proportional to 596.37, 894.22 and 249.33

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Solution

The fourth proportional to 596.37, 894.22 and 249.33 is: 373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.37 : 894.22 = 249.33 : x
  2. Step 2: Convert to fraction form
    596.37/894.22 = 249.33/x
  3. Step 3: Cross multiply
    596.37x = 894.22 × 249.33
  4. Step 4: Simplify right side
    596.37x = 222,955.87
  5. Step 5: Solve for x
    x = 222,955.87/596.37
  6. Step 6: Final answer
    x = 373.85

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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.