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Finding the Fourth Proportional to 628.09, 942.23 and 237.94

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Solution

The fourth proportional to 628.09, 942.23 and 237.94 is: 356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.09 : 942.23 = 237.94 : x
  2. Step 2: Convert to fraction form
    628.09/942.23 = 237.94/x
  3. Step 3: Cross multiply
    628.09x = 942.23 × 237.94
  4. Step 4: Simplify right side
    628.09x = 224,194.21
  5. Step 5: Solve for x
    x = 224,194.21/628.09
  6. Step 6: Final answer
    x = 356.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.