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Finding the Fourth Proportional to 464.44, 635.88 and 460

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Solution

The fourth proportional to 464.44, 635.88 and 460 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.44 : 635.88 = 460 : x
  2. Step 2: Convert to fraction form
    464.44/635.88 = 460/x
  3. Step 3: Cross multiply
    464.44x = 635.88 × 460
  4. Step 4: Simplify right side
    464.44x = 292,504.80
  5. Step 5: Solve for x
    x = 292,504.80/464.44
  6. Step 6: Final answer
    x = 629.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.