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Finding the Fourth Proportional to 683.24, 942.77 and 403.49

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Solution

The fourth proportional to 683.24, 942.77 and 403.49 is: 556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.24 : 942.77 = 403.49 : x
  2. Step 2: Convert to fraction form
    683.24/942.77 = 403.49/x
  3. Step 3: Cross multiply
    683.24x = 942.77 × 403.49
  4. Step 4: Simplify right side
    683.24x = 380,394.56
  5. Step 5: Solve for x
    x = 380,394.56/683.24
  6. Step 6: Final answer
    x = 556.76

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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.