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Finding the Fourth Proportional to 464.52, 640.97 and 277.97

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Solution

The fourth proportional to 464.52, 640.97 and 277.97 is: 383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.52 : 640.97 = 277.97 : x
  2. Step 2: Convert to fraction form
    464.52/640.97 = 277.97/x
  3. Step 3: Cross multiply
    464.52x = 640.97 × 277.97
  4. Step 4: Simplify right side
    464.52x = 178,172.05
  5. Step 5: Solve for x
    x = 178,172.05/464.52
  6. Step 6: Final answer
    x = 383.56

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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.