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Finding the Fourth Proportional to 683.10, 942.28 and 388.31

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Solution

The fourth proportional to 683.10, 942.28 and 388.31 is: 535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.10 : 942.28 = 388.31 : x
  2. Step 2: Convert to fraction form
    683.10/942.28 = 388.31/x
  3. Step 3: Cross multiply
    683.10x = 942.28 × 388.31
  4. Step 4: Simplify right side
    683.10x = 365,898.55
  5. Step 5: Solve for x
    x = 365,898.55/683.10
  6. Step 6: Final answer
    x = 535.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.