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Finding the Fourth Proportional to 683.32, 942.68 and 535.36

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Solution

The fourth proportional to 683.32, 942.68 and 535.36 is: 738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.32 : 942.68 = 535.36 : x
  2. Step 2: Convert to fraction form
    683.32/942.68 = 535.36/x
  3. Step 3: Cross multiply
    683.32x = 942.68 × 535.36
  4. Step 4: Simplify right side
    683.32x = 504,673.16
  5. Step 5: Solve for x
    x = 504,673.16/683.32
  6. Step 6: Final answer
    x = 738.56

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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.