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Finding the Fourth Proportional to 398.57, 597.85 and 182.30

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Solution

The fourth proportional to 398.57, 597.85 and 182.30 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.57 : 597.85 = 182.30 : x
  2. Step 2: Convert to fraction form
    398.57/597.85 = 182.30/x
  3. Step 3: Cross multiply
    398.57x = 597.85 × 182.30
  4. Step 4: Simplify right side
    398.57x = 108,984.61
  5. Step 5: Solve for x
    x = 108,984.61/398.57
  6. Step 6: Final answer
    x = 273.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.