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Finding the Fourth Proportional to 464.36, 640.84 and 254.54

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Solution

The fourth proportional to 464.36, 640.84 and 254.54 is: 351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.36 : 640.84 = 254.54 : x
  2. Step 2: Convert to fraction form
    464.36/640.84 = 254.54/x
  3. Step 3: Cross multiply
    464.36x = 640.84 × 254.54
  4. Step 4: Simplify right side
    464.36x = 163,120.14
  5. Step 5: Solve for x
    x = 163,120.14/464.36
  6. Step 6: Final answer
    x = 351.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.