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Finding the Fourth Proportional to 604.72, 906.09 and 387.82

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Solution

The fourth proportional to 604.72, 906.09 and 387.82 is: 581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.72 : 906.09 = 387.82 : x
  2. Step 2: Convert to fraction form
    604.72/906.09 = 387.82/x
  3. Step 3: Cross multiply
    604.72x = 906.09 × 387.82
  4. Step 4: Simplify right side
    604.72x = 351,399.82
  5. Step 5: Solve for x
    x = 351,399.82/604.72
  6. Step 6: Final answer
    x = 581.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.