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Finding the Fourth Proportional to 604.90, 834.41 and 380.48

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Solution

The fourth proportional to 604.90, 834.41 and 380.48 is: 524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.90 : 834.41 = 380.48 : x
  2. Step 2: Convert to fraction form
    604.90/834.41 = 380.48/x
  3. Step 3: Cross multiply
    604.90x = 834.41 × 380.48
  4. Step 4: Simplify right side
    604.90x = 317,477.84
  5. Step 5: Solve for x
    x = 317,477.84/604.90
  6. Step 6: Final answer
    x = 524.84

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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.