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Finding the Fourth Proportional to 398.14, 597.24 and 311.29

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Solution

The fourth proportional to 398.14, 597.24 and 311.29 is: 466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.14 : 597.24 = 311.29 : x
  2. Step 2: Convert to fraction form
    398.14/597.24 = 311.29/x
  3. Step 3: Cross multiply
    398.14x = 597.24 × 311.29
  4. Step 4: Simplify right side
    398.14x = 185,914.84
  5. Step 5: Solve for x
    x = 185,914.84/398.14
  6. Step 6: Final answer
    x = 466.96

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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.