  We present results of Rossi X-Ray Timing Explorer (XTE) observations of the
atoll source 4U 1702-429 in the middle of its luminosity range. Kilohertz-range
quasiperiodic oscillations (QPOs) were observed first as a narrow (FWHM ~7 Hz)
peak near 900 Hz, and later as a pair consisting of a narrow peak in the range
625--825 Hz and a faint broad (FWHM 91 Hz) peak. When the two peaks appeared
simultaneously the separation was 333 +/- 5 Hz. Six type I thermonuclear bursts
were detected, of which five exhibited almost coherent oscillations near 330
Hz, which makes 4U 1702-429 only the second source to show burst oscillations
very close to the kilohertz QPO separation frequency. The energy spectrum and
color-color diagram indicate that the source executed variations in the range
between the ``island'' and ``lower banana'' atoll states. In addition to the
kilohertz variability, oscillations at ~10, ~35, and 80 Hz were also detected
at various times, superimposed on a red noise continuum. The centroid of the
\~35 Hz QPO tracks the frequency of the kilohertz oscillation when they were
both present. A Lense-Thirring gravitomagnetic precession interpretation
appears more plausible in this case, compared to other atoll sources with low
frequency QPOs.
