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Finding the Fourth Proportional to 596.44, 894.60 and 163.64

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Solution

The fourth proportional to 596.44, 894.60 and 163.64 is: 245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.44 : 894.60 = 163.64 : x
  2. Step 2: Convert to fraction form
    596.44/894.60 = 163.64/x
  3. Step 3: Cross multiply
    596.44x = 894.60 × 163.64
  4. Step 4: Simplify right side
    596.44x = 146,392.34
  5. Step 5: Solve for x
    x = 146,392.34/596.44
  6. Step 6: Final answer
    x = 245.44

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Why These Related Problems?

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