An investor's superannuation fund allows them to move parts of their retirement savings between two well-diversified managed portfolios: one invests predominantly in debt securities and the other invests primarily in equity securities. The mean return earned by the debt fund is 0.034 and the variance of its returns is 0.0338. The mean and variance of the returns on the equity fund are 0.442 and 0.088 respectively. The correlation between the two funds returns is a modest 0.22. What proportion of the investor's superannuation portfolio invested in the equity fund will produce the lowest possible variance among all portfolios? Express your answer as a proportion and not as a percentage (i.e., 100 percent is expressed as 1) to three decimal places.