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Finding the Fourth Proportional to 398.16, 597.26 and 109.60

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Solution

The fourth proportional to 398.16, 597.26 and 109.60 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.16 : 597.26 = 109.60 : x
  2. Step 2: Convert to fraction form
    398.16/597.26 = 109.60/x
  3. Step 3: Cross multiply
    398.16x = 597.26 × 109.60
  4. Step 4: Simplify right side
    398.16x = 65,459.70
  5. Step 5: Solve for x
    x = 65,459.70/398.16
  6. Step 6: Final answer
    x = 164.41

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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.