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Finding the Fourth Proportional to 604.02, 905.36 and 398.73

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Solution

The fourth proportional to 604.02, 905.36 and 398.73 is: 597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.02 : 905.36 = 398.73 : x
  2. Step 2: Convert to fraction form
    604.02/905.36 = 398.73/x
  3. Step 3: Cross multiply
    604.02x = 905.36 × 398.73
  4. Step 4: Simplify right side
    604.02x = 360,992.20
  5. Step 5: Solve for x
    x = 360,992.20/604.02
  6. Step 6: Final answer
    x = 597.65

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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.