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Finding the Fourth Proportional to 408.27, 612.42 and 203.28

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Solution

The fourth proportional to 408.27, 612.42 and 203.28 is: 304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.27 : 612.42 = 203.28 : x
  2. Step 2: Convert to fraction form
    408.27/612.42 = 203.28/x
  3. Step 3: Cross multiply
    408.27x = 612.42 × 203.28
  4. Step 4: Simplify right side
    408.27x = 124,492.74
  5. Step 5: Solve for x
    x = 124,492.74/408.27
  6. Step 6: Final answer
    x = 304.93

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