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Finding the Fourth Proportional to 604.16, 905.81 and 311.09

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Solution

The fourth proportional to 604.16, 905.81 and 311.09 is: 466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.16 : 905.81 = 311.09 : x
  2. Step 2: Convert to fraction form
    604.16/905.81 = 311.09/x
  3. Step 3: Cross multiply
    604.16x = 905.81 × 311.09
  4. Step 4: Simplify right side
    604.16x = 281,782.35
  5. Step 5: Solve for x
    x = 281,782.35/604.16
  6. Step 6: Final answer
    x = 466.41

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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.