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Finding the Fourth Proportional to 683.45, 943.61 and 450.71

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Solution

The fourth proportional to 683.45, 943.61 and 450.71 is: 622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.45 : 943.61 = 450.71 : x
  2. Step 2: Convert to fraction form
    683.45/943.61 = 450.71/x
  3. Step 3: Cross multiply
    683.45x = 943.61 × 450.71
  4. Step 4: Simplify right side
    683.45x = 425,294.46
  5. Step 5: Solve for x
    x = 425,294.46/683.45
  6. Step 6: Final answer
    x = 622.28

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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.