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Finding the Fourth Proportional to 408.15, 612.14 and 254.07

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Solution

The fourth proportional to 408.15, 612.14 and 254.07 is: 381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.15 : 612.14 = 254.07 : x
  2. Step 2: Convert to fraction form
    408.15/612.14 = 254.07/x
  3. Step 3: Cross multiply
    408.15x = 612.14 × 254.07
  4. Step 4: Simplify right side
    408.15x = 155,525.14
  5. Step 5: Solve for x
    x = 155,525.14/408.15
  6. Step 6: Final answer
    x = 381.05

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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.