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Finding the Fourth Proportional to 604.35, 905.89 and 295.78

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Solution

The fourth proportional to 604.35, 905.89 and 295.78 is: 443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.35 : 905.89 = 295.78 : x
  2. Step 2: Convert to fraction form
    604.35/905.89 = 295.78/x
  3. Step 3: Cross multiply
    604.35x = 905.89 × 295.78
  4. Step 4: Simplify right side
    604.35x = 267,944.14
  5. Step 5: Solve for x
    x = 267,944.14/604.35
  6. Step 6: Final answer
    x = 443.36

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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.