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Finding the Fourth Proportional to 683.22, 942.82 and 388.48

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Solution

The fourth proportional to 683.22, 942.82 and 388.48 is: 536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.22 : 942.82 = 388.48 : x
  2. Step 2: Convert to fraction form
    683.22/942.82 = 388.48/x
  3. Step 3: Cross multiply
    683.22x = 942.82 × 388.48
  4. Step 4: Simplify right side
    683.22x = 366,266.71
  5. Step 5: Solve for x
    x = 366,266.71/683.22
  6. Step 6: Final answer
    x = 536.09

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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.