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Finding the Fourth Proportional to 682.82, 942.30 and 399.22

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Solution

The fourth proportional to 682.82, 942.30 and 399.22 is: 550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.82 : 942.30 = 399.22 : x
  2. Step 2: Convert to fraction form
    682.82/942.30 = 399.22/x
  3. Step 3: Cross multiply
    682.82x = 942.30 × 399.22
  4. Step 4: Simplify right side
    682.82x = 376,185.01
  5. Step 5: Solve for x
    x = 376,185.01/682.82
  6. Step 6: Final answer
    x = 550.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.