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Finding the Fourth Proportional to 291.23, 401.94 and 281.62

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Solution

The fourth proportional to 291.23, 401.94 and 281.62 is: 388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.23 : 401.94 = 281.62 : x
  2. Step 2: Convert to fraction form
    291.23/401.94 = 281.62/x
  3. Step 3: Cross multiply
    291.23x = 401.94 × 281.62
  4. Step 4: Simplify right side
    291.23x = 113,194.34
  5. Step 5: Solve for x
    x = 113,194.34/291.23
  6. Step 6: Final answer
    x = 388.68

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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.