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Finding the Fourth Proportional to 398.57, 597.78 and 182.09

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Solution

The fourth proportional to 398.57, 597.78 and 182.09 is: 273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.57 : 597.78 = 182.09 : x
  2. Step 2: Convert to fraction form
    398.57/597.78 = 182.09/x
  3. Step 3: Cross multiply
    398.57x = 597.78 × 182.09
  4. Step 4: Simplify right side
    398.57x = 108,851.25
  5. Step 5: Solve for x
    x = 108,851.25/398.57
  6. Step 6: Final answer
    x = 273.11

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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.