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Finding the Fourth Proportional to 398.38, 597.57 and 109.82

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Solution

The fourth proportional to 398.38, 597.57 and 109.82 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.38 : 597.57 = 109.82 : x
  2. Step 2: Convert to fraction form
    398.38/597.57 = 109.82/x
  3. Step 3: Cross multiply
    398.38x = 597.57 × 109.82
  4. Step 4: Simplify right side
    398.38x = 65,625.14
  5. Step 5: Solve for x
    x = 65,625.14/398.38
  6. Step 6: Final answer
    x = 164.73

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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.