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Finding the Fourth Proportional to 683.31, 943.05 and 417.91

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Solution

The fourth proportional to 683.31, 943.05 and 417.91 is: 576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.31 : 943.05 = 417.91 : x
  2. Step 2: Convert to fraction form
    683.31/943.05 = 417.91/x
  3. Step 3: Cross multiply
    683.31x = 943.05 × 417.91
  4. Step 4: Simplify right side
    683.31x = 394,110.03
  5. Step 5: Solve for x
    x = 394,110.03/683.31
  6. Step 6: Final answer
    x = 576.77

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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.