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Finding the Fourth Proportional to 397.34, 596.04 and 311.23

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Solution

The fourth proportional to 397.34, 596.04 and 311.23 is: 466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.34 : 596.04 = 311.23 : x
  2. Step 2: Convert to fraction form
    397.34/596.04 = 311.23/x
  3. Step 3: Cross multiply
    397.34x = 596.04 × 311.23
  4. Step 4: Simplify right side
    397.34x = 185,502.55
  5. Step 5: Solve for x
    x = 185,502.55/397.34
  6. Step 6: Final answer
    x = 466.87

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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.