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Finding the Fourth Proportional to 471.18, 648.78 and 408.90

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Solution

The fourth proportional to 471.18, 648.78 and 408.90 is: 563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.18 : 648.78 = 408.90 : x
  2. Step 2: Convert to fraction form
    471.18/648.78 = 408.90/x
  3. Step 3: Cross multiply
    471.18x = 648.78 × 408.90
  4. Step 4: Simplify right side
    471.18x = 265,286.14
  5. Step 5: Solve for x
    x = 265,286.14/471.18
  6. Step 6: Final answer
    x = 563.03

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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.