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Finding the Fourth Proportional to 683.08, 942.44 and 403.33

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Solution

The fourth proportional to 683.08, 942.44 and 403.33 is: 556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.08 : 942.44 = 403.33 : x
  2. Step 2: Convert to fraction form
    683.08/942.44 = 403.33/x
  3. Step 3: Cross multiply
    683.08x = 942.44 × 403.33
  4. Step 4: Simplify right side
    683.08x = 380,111.72
  5. Step 5: Solve for x
    x = 380,111.72/683.08
  6. Step 6: Final answer
    x = 556.46

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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.