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Finding the Fourth Proportional to 291.43, 401.02 and 269.07

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Solution

The fourth proportional to 291.43, 401.02 and 269.07 is: 370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.43 : 401.02 = 269.07 : x
  2. Step 2: Convert to fraction form
    291.43/401.02 = 269.07/x
  3. Step 3: Cross multiply
    291.43x = 401.02 × 269.07
  4. Step 4: Simplify right side
    291.43x = 107,902.45
  5. Step 5: Solve for x
    x = 107,902.45/291.43
  6. Step 6: Final answer
    x = 370.25

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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.