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Finding the Fourth Proportional to 683.29, 942.60 and 486.46

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Solution

The fourth proportional to 683.29, 942.60 and 486.46 is: 671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.29 : 942.60 = 486.46 : x
  2. Step 2: Convert to fraction form
    683.29/942.60 = 486.46/x
  3. Step 3: Cross multiply
    683.29x = 942.60 × 486.46
  4. Step 4: Simplify right side
    683.29x = 458,537.20
  5. Step 5: Solve for x
    x = 458,537.20/683.29
  6. Step 6: Final answer
    x = 671.07

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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.