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Finding the Fourth Proportional to 398.25, 597.11 and 203.31

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Solution

The fourth proportional to 398.25, 597.11 and 203.31 is: 304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.25 : 597.11 = 203.31 : x
  2. Step 2: Convert to fraction form
    398.25/597.11 = 203.31/x
  3. Step 3: Cross multiply
    398.25x = 597.11 × 203.31
  4. Step 4: Simplify right side
    398.25x = 121,397.42
  5. Step 5: Solve for x
    x = 121,397.42/398.25
  6. Step 6: Final answer
    x = 304.83

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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.