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Finding the Fourth Proportional to 464.10, 640.46 and 254.27

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Solution

The fourth proportional to 464.10, 640.46 and 254.27 is: 350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.10 : 640.46 = 254.27 : x
  2. Step 2: Convert to fraction form
    464.10/640.46 = 254.27/x
  3. Step 3: Cross multiply
    464.10x = 640.46 × 254.27
  4. Step 4: Simplify right side
    464.10x = 162,850.40
  5. Step 5: Solve for x
    x = 162,850.40/464.10
  6. Step 6: Final answer
    x = 350.90

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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.