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Finding the Fourth Proportional to 604.89, 834.78 and 356.22

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Solution

The fourth proportional to 604.89, 834.78 and 356.22 is: 491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.89 : 834.78 = 356.22 : x
  2. Step 2: Convert to fraction form
    604.89/834.78 = 356.22/x
  3. Step 3: Cross multiply
    604.89x = 834.78 × 356.22
  4. Step 4: Simplify right side
    604.89x = 297,365.33
  5. Step 5: Solve for x
    x = 297,365.33/604.89
  6. Step 6: Final answer
    x = 491.60

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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.