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Finding the Fourth Proportional to 683.95, 943.63 and 404.21

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Solution

The fourth proportional to 683.95, 943.63 and 404.21 is: 557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.95 : 943.63 = 404.21 : x
  2. Step 2: Convert to fraction form
    683.95/943.63 = 404.21/x
  3. Step 3: Cross multiply
    683.95x = 943.63 × 404.21
  4. Step 4: Simplify right side
    683.95x = 381,424.68
  5. Step 5: Solve for x
    x = 381,424.68/683.95
  6. Step 6: Final answer
    x = 557.68

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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.