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Finding the Fourth Proportional to 604.90, 905.73 and 387.82

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Solution

The fourth proportional to 604.90, 905.73 and 387.82 is: 580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.90 : 905.73 = 387.82 : x
  2. Step 2: Convert to fraction form
    604.90/905.73 = 387.82/x
  3. Step 3: Cross multiply
    604.90x = 905.73 × 387.82
  4. Step 4: Simplify right side
    604.90x = 351,260.21
  5. Step 5: Solve for x
    x = 351,260.21/604.90
  6. Step 6: Final answer
    x = 580.69

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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.