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Finding the Fourth Proportional to 683.41, 941.45 and 473.21

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Solution

The fourth proportional to 683.41, 941.45 and 473.21 is: 651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.41 : 941.45 = 473.21 : x
  2. Step 2: Convert to fraction form
    683.41/941.45 = 473.21/x
  3. Step 3: Cross multiply
    683.41x = 941.45 × 473.21
  4. Step 4: Simplify right side
    683.41x = 445,503.55
  5. Step 5: Solve for x
    x = 445,503.55/683.41
  6. Step 6: Final answer
    x = 651.88

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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.