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Finding the Fourth Proportional to 604.14, 905.67 and 315.51

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Solution

The fourth proportional to 604.14, 905.67 and 315.51 is: 472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.14 : 905.67 = 315.51 : x
  2. Step 2: Convert to fraction form
    604.14/905.67 = 315.51/x
  3. Step 3: Cross multiply
    604.14x = 905.67 × 315.51
  4. Step 4: Simplify right side
    604.14x = 285,747.94
  5. Step 5: Solve for x
    x = 285,747.94/604.14
  6. Step 6: Final answer
    x = 472.98

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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.