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Finding the Fourth Proportional to 683.57, 943.31 and 403.76

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Solution

The fourth proportional to 683.57, 943.31 and 403.76 is: 557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.57 : 943.31 = 403.76 : x
  2. Step 2: Convert to fraction form
    683.57/943.31 = 403.76/x
  3. Step 3: Cross multiply
    683.57x = 943.31 × 403.76
  4. Step 4: Simplify right side
    683.57x = 380,870.85
  5. Step 5: Solve for x
    x = 380,870.85/683.57
  6. Step 6: Final answer
    x = 557.18

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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.