Get WPA-Passphrase from HEX key and SSID?

Down to the business.

Using this as an example for WPA key calculation link

Network SSID:   linksys54gh
WPA passphrase: radiustest
Hexadecimal key:    9e9988bde2cba74395c0289ffda07bc41ffa889a3309237a2240c934bcdc7ddb

I get a Hexadecimal Key.

I would like to know if there is a possibility to obtain WPA passphrase by knowing Hexadecimal key and SSID only.

So let's assume i have this:

Network SSID:tomato
Hexadecimal key:    e3c60cdcb07f9b73c5998f02746510b9065be13765a24ca66b5b0f379aba2b08

How can i obtain WPA passphrase by knowing Hex Key / SSID ? is it even possible?