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Finding the Fourth Proportional to 604.05, 905.48 and 311.69

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Solution

The fourth proportional to 604.05, 905.48 and 311.69 is: 467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.05 : 905.48 = 311.69 : x
  2. Step 2: Convert to fraction form
    604.05/905.48 = 311.69/x
  3. Step 3: Cross multiply
    604.05x = 905.48 × 311.69
  4. Step 4: Simplify right side
    604.05x = 282,229.77
  5. Step 5: Solve for x
    x = 282,229.77/604.05
  6. Step 6: Final answer
    x = 467.23

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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.