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Finding the Fourth Proportional to 682.87, 942.70 and 403.19

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Solution

The fourth proportional to 682.87, 942.70 and 403.19 is: 556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.87 : 942.70 = 403.19 : x
  2. Step 2: Convert to fraction form
    682.87/942.70 = 403.19/x
  3. Step 3: Cross multiply
    682.87x = 942.70 × 403.19
  4. Step 4: Simplify right side
    682.87x = 380,087.68
  5. Step 5: Solve for x
    x = 380,087.68/682.87
  6. Step 6: Final answer
    x = 556.60

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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.