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Finding the Fourth Proportional to 464.97, 640.26 and 366.42

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Solution

The fourth proportional to 464.97, 640.26 and 366.42 is: 504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.97 : 640.26 = 366.42 : x
  2. Step 2: Convert to fraction form
    464.97/640.26 = 366.42/x
  3. Step 3: Cross multiply
    464.97x = 640.26 × 366.42
  4. Step 4: Simplify right side
    464.97x = 234,604.07
  5. Step 5: Solve for x
    x = 234,604.07/464.97
  6. Step 6: Final answer
    x = 504.56

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