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Finding the Fourth Proportional to 398.25, 597.38 and 109.69

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Solution

The fourth proportional to 398.25, 597.38 and 109.69 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.25 : 597.38 = 109.69 : x
  2. Step 2: Convert to fraction form
    398.25/597.38 = 109.69/x
  3. Step 3: Cross multiply
    398.25x = 597.38 × 109.69
  4. Step 4: Simplify right side
    398.25x = 65,524.57
  5. Step 5: Solve for x
    x = 65,524.57/398.25
  6. Step 6: Final answer
    x = 164.53

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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.