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Finding the Fourth Proportional to 604.51, 834.21 and 355.78

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Solution

The fourth proportional to 604.51, 834.21 and 355.78 is: 490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.51 : 834.21 = 355.78 : x
  2. Step 2: Convert to fraction form
    604.51/834.21 = 355.78/x
  3. Step 3: Cross multiply
    604.51x = 834.21 × 355.78
  4. Step 4: Simplify right side
    604.51x = 296,791.06
  5. Step 5: Solve for x
    x = 296,791.06/604.51
  6. Step 6: Final answer
    x = 490.96

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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.