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Finding the Fourth Proportional to 683.24, 942.69 and 388.46

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Solution

The fourth proportional to 683.24, 942.69 and 388.46 is: 535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.24 : 942.69 = 388.46 : x
  2. Step 2: Convert to fraction form
    683.24/942.69 = 388.46/x
  3. Step 3: Cross multiply
    683.24x = 942.69 × 388.46
  4. Step 4: Simplify right side
    683.24x = 366,197.36
  5. Step 5: Solve for x
    x = 366,197.36/683.24
  6. Step 6: Final answer
    x = 535.97

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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.