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Finding the Fourth Proportional to 412.99, 618.53 and 268.27

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Solution

The fourth proportional to 412.99, 618.53 and 268.27 is: 401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.99 : 618.53 = 268.27 : x
  2. Step 2: Convert to fraction form
    412.99/618.53 = 268.27/x
  3. Step 3: Cross multiply
    412.99x = 618.53 × 268.27
  4. Step 4: Simplify right side
    412.99x = 165,933.04
  5. Step 5: Solve for x
    x = 165,933.04/412.99
  6. Step 6: Final answer
    x = 401.78

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Why These Related Problems?

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