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Finding the Fourth Proportional to 596.62, 894.80 and 163.72

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Solution

The fourth proportional to 596.62, 894.80 and 163.72 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.62 : 894.80 = 163.72 : x
  2. Step 2: Convert to fraction form
    596.62/894.80 = 163.72/x
  3. Step 3: Cross multiply
    596.62x = 894.80 × 163.72
  4. Step 4: Simplify right side
    596.62x = 146,495.84
  5. Step 5: Solve for x
    x = 146,495.84/596.62
  6. Step 6: Final answer
    x = 245.54

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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.