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Finding the Fourth Proportional to 682.29, 942.87 and 516.21

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Solution

The fourth proportional to 682.29, 942.87 and 516.21 is: 713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.29 : 942.87 = 516.21 : x
  2. Step 2: Convert to fraction form
    682.29/942.87 = 516.21/x
  3. Step 3: Cross multiply
    682.29x = 942.87 × 516.21
  4. Step 4: Simplify right side
    682.29x = 486,717.32
  5. Step 5: Solve for x
    x = 486,717.32/682.29
  6. Step 6: Final answer
    x = 713.36

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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.