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Finding the Fourth Proportional to 398.27, 597.30 and 109.64

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Solution

The fourth proportional to 398.27, 597.30 and 109.64 is: 164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.27 : 597.30 = 109.64 : x
  2. Step 2: Convert to fraction form
    398.27/597.30 = 109.64/x
  3. Step 3: Cross multiply
    398.27x = 597.30 × 109.64
  4. Step 4: Simplify right side
    398.27x = 65,487.97
  5. Step 5: Solve for x
    x = 65,487.97/398.27
  6. Step 6: Final answer
    x = 164.43

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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.