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Finding the Fourth Proportional to 398.24, 597.26 and 109.70

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Solution

The fourth proportional to 398.24, 597.26 and 109.70 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.24 : 597.26 = 109.70 : x
  2. Step 2: Convert to fraction form
    398.24/597.26 = 109.70/x
  3. Step 3: Cross multiply
    398.24x = 597.26 × 109.70
  4. Step 4: Simplify right side
    398.24x = 65,519.42
  5. Step 5: Solve for x
    x = 65,519.42/398.24
  6. Step 6: Final answer
    x = 164.52

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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.