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Finding the Fourth Proportional to 597.82, 896.77 and 164.97

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Solution

The fourth proportional to 597.82, 896.77 and 164.97 is: 247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.82 : 896.77 = 164.97 : x
  2. Step 2: Convert to fraction form
    597.82/896.77 = 164.97/x
  3. Step 3: Cross multiply
    597.82x = 896.77 × 164.97
  4. Step 4: Simplify right side
    597.82x = 147,940.15
  5. Step 5: Solve for x
    x = 147,940.15/597.82
  6. Step 6: Final answer
    x = 247.47

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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.