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Finding the Fourth Proportional to 468.11, 645.94 and 268.96

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Solution

The fourth proportional to 468.11, 645.94 and 268.96 is: 371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.11 : 645.94 = 268.96 : x
  2. Step 2: Convert to fraction form
    468.11/645.94 = 268.96/x
  3. Step 3: Cross multiply
    468.11x = 645.94 × 268.96
  4. Step 4: Simplify right side
    468.11x = 173,732.02
  5. Step 5: Solve for x
    x = 173,732.02/468.11
  6. Step 6: Final answer
    x = 371.14

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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.