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Finding the Fourth Proportional to 683.73, 943.57 and 389.01

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Solution

The fourth proportional to 683.73, 943.57 and 389.01 is: 536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.73 : 943.57 = 389.01 : x
  2. Step 2: Convert to fraction form
    683.73/943.57 = 389.01/x
  3. Step 3: Cross multiply
    683.73x = 943.57 × 389.01
  4. Step 4: Simplify right side
    683.73x = 367,057.19
  5. Step 5: Solve for x
    x = 367,057.19/683.73
  6. Step 6: Final answer
    x = 536.85

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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.