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Finding the Fourth Proportional to 465.36, 640.73 and 395.27

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Solution

The fourth proportional to 465.36, 640.73 and 395.27 is: 544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.36 : 640.73 = 395.27 : x
  2. Step 2: Convert to fraction form
    465.36/640.73 = 395.27/x
  3. Step 3: Cross multiply
    465.36x = 640.73 × 395.27
  4. Step 4: Simplify right side
    465.36x = 253,261.35
  5. Step 5: Solve for x
    x = 253,261.35/465.36
  6. Step 6: Final answer
    x = 544.23

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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.