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Finding the Fourth Proportional to 408.36, 563.06 and 284.13

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Solution

The fourth proportional to 408.36, 563.06 and 284.13 is: 391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.36 : 563.06 = 284.13 : x
  2. Step 2: Convert to fraction form
    408.36/563.06 = 284.13/x
  3. Step 3: Cross multiply
    408.36x = 563.06 × 284.13
  4. Step 4: Simplify right side
    408.36x = 159,982.24
  5. Step 5: Solve for x
    x = 159,982.24/408.36
  6. Step 6: Final answer
    x = 391.77

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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.