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Finding the Fourth Proportional to 604.76, 834.05 and 494.03

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Solution

The fourth proportional to 604.76, 834.05 and 494.03 is: 681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.76 : 834.05 = 494.03 : x
  2. Step 2: Convert to fraction form
    604.76/834.05 = 494.03/x
  3. Step 3: Cross multiply
    604.76x = 834.05 × 494.03
  4. Step 4: Simplify right side
    604.76x = 412,039.08
  5. Step 5: Solve for x
    x = 412,039.08/604.76
  6. Step 6: Final answer
    x = 681.33

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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.