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Finding the Fourth Proportional to 398.80, 598.56 and 182.44

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Solution

The fourth proportional to 398.80, 598.56 and 182.44 is: 273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.80 : 598.56 = 182.44 : x
  2. Step 2: Convert to fraction form
    398.80/598.56 = 182.44/x
  3. Step 3: Cross multiply
    398.80x = 598.56 × 182.44
  4. Step 4: Simplify right side
    398.80x = 109,201.29
  5. Step 5: Solve for x
    x = 109,201.29/398.80
  6. Step 6: Final answer
    x = 273.82

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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.