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Finding the Fourth Proportional to 291.90, 401.79 and 254.97

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Solution

The fourth proportional to 291.90, 401.79 and 254.97 is: 350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.90 : 401.79 = 254.97 : x
  2. Step 2: Convert to fraction form
    291.90/401.79 = 254.97/x
  3. Step 3: Cross multiply
    291.90x = 401.79 × 254.97
  4. Step 4: Simplify right side
    291.90x = 102,444.40
  5. Step 5: Solve for x
    x = 102,444.40/291.90
  6. Step 6: Final answer
    x = 350.96

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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.