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Finding the Fourth Proportional to 408.80, 563.77 and 304.15

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Solution

The fourth proportional to 408.80, 563.77 and 304.15 is: 419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 563.77 = 304.15 : x
  2. Step 2: Convert to fraction form
    408.80/563.77 = 304.15/x
  3. Step 3: Cross multiply
    408.80x = 563.77 × 304.15
  4. Step 4: Simplify right side
    408.80x = 171,468.48
  5. Step 5: Solve for x
    x = 171,468.48/408.80
  6. Step 6: Final answer
    x = 419.44

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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.