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Finding the Fourth Proportional to 464.54, 640.31 and 408.92

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Solution

The fourth proportional to 464.54, 640.31 and 408.92 is: 563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.54 : 640.31 = 408.92 : x
  2. Step 2: Convert to fraction form
    464.54/640.31 = 408.92/x
  3. Step 3: Cross multiply
    464.54x = 640.31 × 408.92
  4. Step 4: Simplify right side
    464.54x = 261,830.32
  5. Step 5: Solve for x
    x = 261,830.32/464.54
  6. Step 6: Final answer
    x = 563.64

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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.