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Finding the Fourth Proportional to 683.25, 942.93 and 421.14

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Solution

The fourth proportional to 683.25, 942.93 and 421.14 is: 581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.25 : 942.93 = 421.14 : x
  2. Step 2: Convert to fraction form
    683.25/942.93 = 421.14/x
  3. Step 3: Cross multiply
    683.25x = 942.93 × 421.14
  4. Step 4: Simplify right side
    683.25x = 397,105.54
  5. Step 5: Solve for x
    x = 397,105.54/683.25
  6. Step 6: Final answer
    x = 581.20

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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.