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Finding the Fourth Proportional to 604.16, 905.82 and 344.34

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Solution

The fourth proportional to 604.16, 905.82 and 344.34 is: 516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.16 : 905.82 = 344.34 : x
  2. Step 2: Convert to fraction form
    604.16/905.82 = 344.34/x
  3. Step 3: Cross multiply
    604.16x = 905.82 × 344.34
  4. Step 4: Simplify right side
    604.16x = 311,910.06
  5. Step 5: Solve for x
    x = 311,910.06/604.16
  6. Step 6: Final answer
    x = 516.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.