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Finding the Fourth Proportional to 464.52, 640.26 and 370.97

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Solution

The fourth proportional to 464.52, 640.26 and 370.97 is: 511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.52 : 640.26 = 370.97 : x
  2. Step 2: Convert to fraction form
    464.52/640.26 = 370.97/x
  3. Step 3: Cross multiply
    464.52x = 640.26 × 370.97
  4. Step 4: Simplify right side
    464.52x = 237,514.05
  5. Step 5: Solve for x
    x = 237,514.05/464.52
  6. Step 6: Final answer
    x = 511.31

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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.