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Finding the Fourth Proportional to 466.03, 698.16 and 311.49

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Solution

The fourth proportional to 466.03, 698.16 and 311.49 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.03 : 698.16 = 311.49 : x
  2. Step 2: Convert to fraction form
    466.03/698.16 = 311.49/x
  3. Step 3: Cross multiply
    466.03x = 698.16 × 311.49
  4. Step 4: Simplify right side
    466.03x = 217,469.86
  5. Step 5: Solve for x
    x = 217,469.86/466.03
  6. Step 6: Final answer
    x = 466.64

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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.