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Finding the Fourth Proportional to 398.05, 596.46 and 311.18

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Solution

The fourth proportional to 398.05, 596.46 and 311.18 is: 466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.05 : 596.46 = 311.18 : x
  2. Step 2: Convert to fraction form
    398.05/596.46 = 311.18/x
  3. Step 3: Cross multiply
    398.05x = 596.46 × 311.18
  4. Step 4: Simplify right side
    398.05x = 185,604.61
  5. Step 5: Solve for x
    x = 185,604.61/398.05
  6. Step 6: Final answer
    x = 466.29

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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.