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Finding the Fourth Proportional to 604.57, 906.03 and 295.81

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Solution

The fourth proportional to 604.57, 906.03 and 295.81 is: 443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.57 : 906.03 = 295.81 : x
  2. Step 2: Convert to fraction form
    604.57/906.03 = 295.81/x
  3. Step 3: Cross multiply
    604.57x = 906.03 × 295.81
  4. Step 4: Simplify right side
    604.57x = 268,012.73
  5. Step 5: Solve for x
    x = 268,012.73/604.57
  6. Step 6: Final answer
    x = 443.31

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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.