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Finding the Fourth Proportional to 398.41, 597.61 and 109.84

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Solution

The fourth proportional to 398.41, 597.61 and 109.84 is: 164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.41 : 597.61 = 109.84 : x
  2. Step 2: Convert to fraction form
    398.41/597.61 = 109.84/x
  3. Step 3: Cross multiply
    398.41x = 597.61 × 109.84
  4. Step 4: Simplify right side
    398.41x = 65,641.48
  5. Step 5: Solve for x
    x = 65,641.48/398.41
  6. Step 6: Final answer
    x = 164.76

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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.