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Finding the Fourth Proportional to 408.18, 563.68 and 325.90

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Solution

The fourth proportional to 408.18, 563.68 and 325.90 is: 450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.18 : 563.68 = 325.90 : x
  2. Step 2: Convert to fraction form
    408.18/563.68 = 325.90/x
  3. Step 3: Cross multiply
    408.18x = 563.68 × 325.90
  4. Step 4: Simplify right side
    408.18x = 183,703.31
  5. Step 5: Solve for x
    x = 183,703.31/408.18
  6. Step 6: Final answer
    x = 450.05

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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.