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Finding the Fourth Proportional to 398.61, 597.87 and 182.21

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Solution

The fourth proportional to 398.61, 597.87 and 182.21 is: 273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.61 : 597.87 = 182.21 : x
  2. Step 2: Convert to fraction form
    398.61/597.87 = 182.21/x
  3. Step 3: Cross multiply
    398.61x = 597.87 × 182.21
  4. Step 4: Simplify right side
    398.61x = 108,934.90
  5. Step 5: Solve for x
    x = 108,934.90/398.61
  6. Step 6: Final answer
    x = 273.29

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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.