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Finding the Fourth Proportional to 683.43, 942.85 and 476.55

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Solution

The fourth proportional to 683.43, 942.85 and 476.55 is: 657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.43 : 942.85 = 476.55 : x
  2. Step 2: Convert to fraction form
    683.43/942.85 = 476.55/x
  3. Step 3: Cross multiply
    683.43x = 942.85 × 476.55
  4. Step 4: Simplify right side
    683.43x = 449,315.17
  5. Step 5: Solve for x
    x = 449,315.17/683.43
  6. Step 6: Final answer
    x = 657.44

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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.