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Finding the Fourth Proportional to 604.73, 905.78 and 315.56

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Solution

The fourth proportional to 604.73, 905.78 and 315.56 is: 472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.73 : 905.78 = 315.56 : x
  2. Step 2: Convert to fraction form
    604.73/905.78 = 315.56/x
  3. Step 3: Cross multiply
    604.73x = 905.78 × 315.56
  4. Step 4: Simplify right side
    604.73x = 285,830.99
  5. Step 5: Solve for x
    x = 285,830.99/604.73
  6. Step 6: Final answer
    x = 472.66

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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.