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Finding the Fourth Proportional to 604.42, 834.04 and 371.54

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Solution

The fourth proportional to 604.42, 834.04 and 371.54 is: 512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.42 : 834.04 = 371.54 : x
  2. Step 2: Convert to fraction form
    604.42/834.04 = 371.54/x
  3. Step 3: Cross multiply
    604.42x = 834.04 × 371.54
  4. Step 4: Simplify right side
    604.42x = 309,879.22
  5. Step 5: Solve for x
    x = 309,879.22/604.42
  6. Step 6: Final answer
    x = 512.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.