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Finding the Fourth Proportional to 464.99, 640.44 and 418.23

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Solution

The fourth proportional to 464.99, 640.44 and 418.23 is: 576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.99 : 640.44 = 418.23 : x
  2. Step 2: Convert to fraction form
    464.99/640.44 = 418.23/x
  3. Step 3: Cross multiply
    464.99x = 640.44 × 418.23
  4. Step 4: Simplify right side
    464.99x = 267,851.22
  5. Step 5: Solve for x
    x = 267,851.22/464.99
  6. Step 6: Final answer
    x = 576.04

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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.